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104672256 = 2103132621
BaseRepresentation
bin1100011110100…
…10110000000000
321021221220100020
412033102300000
5203244003011
614215253440
72410461633
oct617226000
9237856306
10104672256
11540a28a7
122b07a280
13188bb360
14dc89c1a
1592c9006
hex63d2c00

104672256 has 88 divisors (see below), whose sum is σ = 300565104. Its totient is φ = 32194560.

The previous prime is 104672251. The next prime is 104672261. The reversal of 104672256 is 652276401.

It is an interprime number because it is at equal distance from previous prime (104672251) and next prime (104672261).

It is a super-2 number, since 2×1046722562 = 21912562352259072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104672251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38626 + ... + 41246.

Almost surely, 2104672256 is an apocalyptic number.

104672256 is a gapful number since it is divisible by the number (16) 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 104672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150282552).

104672256 is an abundant number, since it is smaller than the sum of its proper divisors (195892848).

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

104672256 is a wasteful number, since it uses less digits than its factorization.

104672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 104672256 is about 10230.9459973162. The cubic root of 104672256 is about 471.2780305898.

The spelling of 104672256 in words is "one hundred four million, six hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 2621 3072 3328 4992 5242 6656 7863 9984 10484 13312 15726 19968 20968 31452 34073 39936 41936 62904 68146 83872 102219 125808 136292 167744 204438 251616 272584 335488 408876 503232 545168 670976 817752 1006464 1090336 1341952 1635504 2012928 2180672 2683904 3271008 4025856 4361344 6542016 8051712 8722688 13084032 17445376 26168064 34890752 52336128 104672256