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3802680 = 233357503
BaseRepresentation
bin1110100000011000111000
321011012022000
432200120320
51433141210
6213301000
744215350
oct16403070
97135260
103802680
112168012
121334760
13a31b0b
1470db60
15501ac0
hex3a0638

3802680 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 867456.

The previous prime is 3802663. The next prime is 3802681. The reversal of 3802680 is 862083.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802681) 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, 7309 + ... + 7811.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 23802680 is an apocalyptic number.

3802680 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 3802680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

3802680 is an abundant number, since it is smaller than the sum of its proper divisors (10712520).

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

3802680 is a wasteful number, since it uses less digits than its factorization.

3802680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3802680 is about 1950.0461533000. The cubic root of 3802680 is about 156.0857516711.

The spelling of 3802680 in words is "three million, eight hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 503 504 540 630 756 840 945 1006 1080 1260 1509 1512 1890 2012 2515 2520 3018 3521 3780 4024 4527 5030 6036 7042 7545 7560 9054 10060 10563 12072 13581 14084 15090 17605 18108 20120 21126 22635 27162 28168 30180 31689 35210 36216 42252 45270 52815 54324 60360 63378 67905 70420 84504 90540 95067 105630 108648 126756 135810 140840 158445 181080 190134 211260 253512 271620 316890 380268 422520 475335 543240 633780 760536 950670 1267560 1901340 3802680