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10765056 = 283107131
BaseRepresentation
bin101001000100…
…001100000000
3202020220212210
4221010030000
510223440211
61022422120
7160334001
oct51041400
922226783
1010765056
116092a45
123731940
1322cbb73
1416031a8
15e299a6
hexa44300

10765056 has 72 divisors (see below), whose sum is σ = 29139264. Its totient is φ = 3527680.

The previous prime is 10765043. The next prime is 10765057. The reversal of 10765056 is 65056701.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10765057) 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, 82111 + ... + 82241.

It is an arithmetic number, because the mean of its divisors is an integer number (404712).

Almost surely, 210765056 is an apocalyptic number.

10765056 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 10765056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569632).

10765056 is an abundant number, since it is smaller than the sum of its proper divisors (18374208).

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

10765056 is a wasteful number, since it uses less digits than its factorization.

10765056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 10765056 is about 3281.0144772616. The cubic root of 10765056 is about 220.8032345672.

The spelling of 10765056 in words is "ten million, seven hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 131 192 214 256 262 321 384 393 428 524 642 768 786 856 1048 1284 1572 1712 2096 2568 3144 3424 4192 5136 6288 6848 8384 10272 12576 13696 14017 16768 20544 25152 27392 28034 33536 41088 42051 50304 56068 82176 84102 100608 112136 168204 224272 336408 448544 672816 897088 1345632 1794176 2691264 3588352 5382528 10765056