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23055936 = 263232227
BaseRepresentation
bin101011111110…
…0111001000000
31121101100210120
41113330321000
521400242221
62142100240
7366654321
oct127747100
947340716
1023055936
11120182a2
12787a680
134a13387
1430c2448
1520565c6
hex15fce40

23055936 has 84 divisors (see below), whose sum is σ = 64050672. Its totient is φ = 7318784.

The previous prime is 23055917. The next prime is 23055943. The reversal of 23055936 is 63955032.

It is a junction number, because it is equal to n+sod(n) for n = 23055897 and 23055906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101455 + ... + 101681.

It is an arithmetic number, because the mean of its divisors is an integer number (762508).

Almost surely, 223055936 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 23055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32025336).

23055936 is an abundant number, since it is smaller than the sum of its proper divisors (40994736).

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

23055936 is a wasteful number, since it uses less digits than its factorization.

23055936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 23055936 is about 4801.6597130576. The cubic root of 23055936 is about 284.6170541604.

The spelling of 23055936 in words is "twenty-three million, fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 227 276 368 454 529 552 681 736 908 1058 1104 1362 1472 1587 1816 2116 2208 2724 3174 3632 4232 4416 5221 5448 6348 7264 8464 10442 10896 12696 14528 15663 16928 20884 21792 25392 31326 33856 41768 43584 50784 62652 83536 101568 120083 125304 167072 240166 250608 334144 360249 480332 501216 720498 960664 1002432 1440996 1921328 2881992 3842656 5763984 7685312 11527968 23055936