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10788096 = 283111277
BaseRepresentation
bin101001001001…
…110100000000
3202022002111010
4221021310000
510230204341
61023120520
7160461114
oct51116400
922262433
1010788096
1160a9290
123743140
1323094b7
14160b744
15e31716
hexa49d00

10788096 has 72 divisors (see below), whose sum is σ = 31346784. Its totient is φ = 3266560.

The previous prime is 10788077. The next prime is 10788131. The reversal of 10788096 is 69088701.

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, 7810 + ... + 9086.

It is an arithmetic number, because the mean of its divisors is an integer number (435372).

Almost surely, 210788096 is an apocalyptic number.

10788096 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 10788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673392).

10788096 is an abundant number, since it is smaller than the sum of its proper divisors (20558688).

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

10788096 is a wasteful number, since it uses less digits than its factorization.

10788096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 10788096 is about 3284.5237097637. The cubic root of 10788096 is about 220.9606476344.

The spelling of 10788096 in words is "ten million, seven hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1277 1408 2112 2554 2816 3831 4224 5108 7662 8448 10216 14047 15324 20432 28094 30648 40864 42141 56188 61296 81728 84282 112376 122592 163456 168564 224752 245184 326912 337128 449504 490368 674256 899008 980736 1348512 1798016 2697024 3596032 5394048 10788096