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3806056560 = 2435172340559
BaseRepresentation
bin1110001011011011…
…1101000001110000
3100211020202201001210
43202312331001300
530243322302220
61425401000120
7163213642545
oct34266750160
910736681053
103806056560
111683468699
128a2783040
134886a8097
142816aabcc
151742156e0
hexe2dbd070

3806056560 has 160 divisors (see below), whose sum is σ = 13036308480. Its totient is φ = 913690624.

The previous prime is 3806056559. The next prime is 3806056561. The reversal of 3806056560 is 656506083.

3806056560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3806056559) and next prime (3806056561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806056561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73561 + ... + 114119.

It is an arithmetic number, because the mean of its divisors is an integer number (81476928).

Almost surely, 23806056560 is an apocalyptic number.

3806056560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518154240).

3806056560 is an abundant number, since it is smaller than the sum of its proper divisors (9230251920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3806056560 is a wasteful number, since it uses less digits than its factorization.

3806056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40615 (or 40609 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 3806056560 is about 61693.2456594723. The cubic root of 3806056560 is about 1561.3193637862.

It can be divided in two parts, 380 and 6056560, that added together give a triangular number (6056940 = T3480).

The spelling of 3806056560 in words is "three billion, eight hundred six million, fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 30 34 40 46 48 51 60 68 69 80 85 92 102 115 120 136 138 170 184 204 230 240 255 272 276 340 345 368 391 408 460 510 552 680 690 782 816 920 1020 1104 1173 1360 1380 1564 1840 1955 2040 2346 2760 3128 3910 4080 4692 5520 5865 6256 7820 9384 11730 15640 18768 23460 31280 40559 46920 81118 93840 121677 162236 202795 243354 324472 405590 486708 608385 648944 689503 811180 932857 973416 1216770 1379006 1622360 1865714 1946832 2068509 2433540 2758012 2798571 3244720 3447515 3731428 4137018 4664285 4867080 5516024 5597142 6895030 7462856 8274036 9328570 9734160 10342545 11032048 11194284 13790060 13992855 14925712 15858569 16548072 18657140 20685090 22388568 27580120 27985710 31717138 33096144 37314280 41370180 44777136 47575707 55160240 55971420 63434276 74628560 79292845 82740360 95151414 111942840 126868552 158585690 165480720 190302828 223885680 237878535 253737104 317171380 380605656 475757070 634342760 761211312 951514140 1268685520 1903028280 3806056560