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10516704 = 2531123433
BaseRepresentation
bin101000000111…
…100011100000
3201210022012120
4220013203200
510143013304
61013224240
7155250642
oct50074340
921708176
1010516704
115a333a0
123632080
132242b03
14157a892
15dcb0d9
hexa078e0

10516704 has 96 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 3041280.

The previous prime is 10516703. The next prime is 10516721. The reversal of 10516704 is 40761501.

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

It is a super-2 number, since 2×105167042 = 221202126047232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24072 + ... + 24504.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 210516704 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 10516704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

10516704 is an abundant number, since it is smaller than the sum of its proper divisors (20981280).

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

10516704 is a wasteful number, since it uses less digits than its factorization.

10516704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10516704 is about 3242.9468080744. The cubic root of 10516704 is about 219.0920152938.

The spelling of 10516704 in words is "ten million, five hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 433 506 528 552 736 759 866 1012 1056 1104 1299 1518 1732 2024 2208 2598 3036 3464 4048 4763 5196 6072 6928 8096 9526 9959 10392 12144 13856 14289 19052 19918 20784 24288 28578 29877 38104 39836 41568 57156 59754 76208 79672 109549 114312 119508 152416 159344 219098 228624 239016 318688 328647 438196 457248 478032 657294 876392 956064 1314588 1752784 2629176 3505568 5258352 10516704