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23055136 = 2513157353
BaseRepresentation
bin101011111110…
…0101100100000
31121101022200221
41113330230200
521400231021
62142052424
7366652066
oct127745440
947338627
1023055136
1112017735
12787a114
134a12bc0
1430c2036
152056241
hex15fcb20

23055136 has 48 divisors (see below), whose sum is σ = 49332024. Its totient is φ = 10543104.

The previous prime is 23055127. The next prime is 23055139. The reversal of 23055136 is 63155032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12531600 + 10523536 = 3540^2 + 3244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23055136.

It is not an unprimeable number, because it can be changed into a prime (23055139) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65136 + ... + 65488.

Almost surely, 223055136 is an apocalyptic number.

23055136 is a gapful number since it is divisible by the number (26) 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 23055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24666012).

23055136 is an abundant number, since it is smaller than the sum of its proper divisors (26276888).

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

23055136 is a wasteful number, since it uses less digits than its factorization.

23055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 23055136 is about 4801.5764078061. The cubic root of 23055136 is about 284.6137622203.

The spelling of 23055136 in words is "twenty-three million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 353 416 628 706 1256 1412 2041 2512 2824 4082 4589 5024 5648 8164 9178 11296 16328 18356 32656 36712 55421 65312 73424 110842 146848 221684 443368 720473 886736 1440946 1773472 2881892 5763784 11527568 23055136