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104100672 = 26313179233
BaseRepresentation
bin1100011010001…
…11001101000000
321020212212021110
412031013031000
5203122210142
614155123320
72402561334
oct615071500
9236785243
10104100672
1153842415
122aa43540
131874b140
14db7b7c4
15921499c
hex6347340

104100672 has 112 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 31715328.

The previous prime is 104100671. The next prime is 104100727. The reversal of 104100672 is 276001401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104100671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446668 + ... + 446900.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2104100672 is an apocalyptic number.

104100672 is a gapful number since it is divisible by the number (12) 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 104100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

104100672 is an abundant number, since it is smaller than the sum of its proper divisors (195456768).

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

104100672 is a wasteful number, since it uses less digits than its factorization.

104100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 104100672 is about 10202.9736841766. The cubic root of 104100672 is about 470.4186280744.

The spelling of 104100672 in words is "one hundred four million, one hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 179 192 208 233 312 358 416 466 537 624 699 716 832 932 1074 1248 1398 1432 1864 2148 2327 2496 2796 2864 3029 3728 4296 4654 5592 5728 6058 6981 7456 8592 9087 9308 11184 11456 12116 13962 14912 17184 18174 18616 22368 24232 27924 34368 36348 37232 41707 44736 48464 55848 72696 74464 83414 96928 111696 125121 145392 148928 166828 193856 223392 250242 290784 333656 446784 500484 542191 581568 667312 1000968 1084382 1334624 1626573 2001936 2168764 2669248 3253146 4003872 4337528 6506292 8007744 8675056 13012584 17350112 26025168 34700224 52050336 104100672