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4111012320 = 253511375793
BaseRepresentation
bin1111010100001001…
…0001000111100000
3101121111121001201120
43311002101013200
531404404343240
61515533132240
7203606012442
oct36502210740
911544531646
104111012320
11181a617448
1296892a080
1350691c78c
142addb0492
15190da2ad0
hexf50911e0

4111012320 has 96 divisors (see below), whose sum is σ = 13064460192. Its totient is φ = 1086554112.

The previous prime is 4111012319. The next prime is 4111012357. The reversal of 4111012320 is 232101114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4111012320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16344 + ... + 92136.

It is an arithmetic number, because the mean of its divisors is an integer number (136088127).

Almost surely, 24111012320 is an apocalyptic number.

4111012320 is a gapful number since it is divisible by the number (40) 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 4111012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532230096).

4111012320 is an abundant number, since it is smaller than the sum of its proper divisors (8953447872).

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

4111012320 is a wasteful number, since it uses less digits than its factorization.

4111012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75924 (or 75916 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4111012320 is about 64117.1764818134. The cubic root of 4111012320 is about 1601.9523459136.

Adding to 4111012320 its reverse (232101114), we get a palindrome (4343113434).

The spelling of 4111012320 in words is "four billion, one hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 9040 10848 13560 18080 27120 54240 75793 151586 227379 303172 378965 454758 606344 757930 909516 1136895 1212688 1515860 1819032 2273790 2425376 3031720 3638064 4547580 6063440 7276128 8564609 9095160 12126880 17129218 18190320 25693827 34258436 36380640 42823045 51387654 68516872 85646090 102775308 128469135 137033744 171292180 205550616 256938270 274067488 342584360 411101232 513876540 685168720 822202464 1027753080 1370337440 2055506160 4111012320