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10940656 = 2417192973
BaseRepresentation
bin101001101111…
…000011110000
3202120211202111
4221233003300
510300100111
61030255104
7161664646
oct51570360
922524674
1010940656
1161a2971
1237b7494
132360a7c
14164b196
15e61a21
hexa6f0f0

10940656 has 80 divisors (see below), whose sum is σ = 24775200. Its totient is φ = 4644864.

The previous prime is 10940651. The next prime is 10940687. The reversal of 10940656 is 65604901.

10940656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10940651) 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, 149836 + ... + 149908.

It is an arithmetic number, because the mean of its divisors is an integer number (309690).

Almost surely, 210940656 is an apocalyptic number.

10940656 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 10940656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387600).

10940656 is an abundant number, since it is smaller than the sum of its proper divisors (13834544).

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

10940656 is a wasteful number, since it uses less digits than its factorization.

10940656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 10940656 is about 3307.6662467667. Note that the first 3 decimals coincide. The cubic root of 10940656 is about 221.9973486684.

The spelling of 10940656 in words is "ten million, nine hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 73 76 116 136 146 152 232 272 292 304 323 464 493 551 584 646 986 1102 1168 1241 1292 1387 1972 2117 2204 2482 2584 2774 3944 4234 4408 4964 5168 5548 7888 8468 8816 9367 9928 11096 16936 18734 19856 22192 23579 33872 35989 37468 40223 47158 71978 74936 80446 94316 143956 149872 160892 188632 287912 321784 377264 575824 643568 683791 1367582 2735164 5470328 10940656