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9904128 = 21331331
BaseRepresentation
bin100101110010…
…000000000000
3200122011220120
4211302000000
510013413003
6552140240
7150120003
oct45620000
920564816
109904128
115655133
123397680
13208a040
14145b53a
15d09853
hex972000

9904128 has 112 divisors (see below), whose sum is σ = 29358336. Its totient is φ = 2949120.

The previous prime is 9904117. The next prime is 9904133. The reversal of 9904128 is 8214099.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319473 + ... + 319503.

It is an arithmetic number, because the mean of its divisors is an integer number (262128).

Almost surely, 29904128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679168).

9904128 is an abundant number, since it is smaller than the sum of its proper divisors (19454208).

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

9904128 is a wasteful number, since it uses less digits than its factorization.

9904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 9904128 is about 3147.0824584049. The cubic root of 9904128 is about 214.7527570713.

The spelling of 9904128 in words is "nine million, nine hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 512 624 744 768 806 832 992 1024 1209 1248 1488 1536 1612 1664 1984 2048 2418 2496 2976 3072 3224 3328 3968 4096 4836 4992 5952 6144 6448 6656 7936 8192 9672 9984 11904 12288 12896 13312 15872 19344 19968 23808 24576 25792 26624 31744 38688 39936 47616 51584 53248 63488 77376 79872 95232 103168 106496 126976 154752 159744 190464 206336 253952 309504 319488 380928 412672 619008 761856 825344 1238016 1650688 2476032 3301376 4952064 9904128