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23055696 = 2432295521
BaseRepresentation
bin101011111110…
…0110101010000
31121101100110200
41113330311100
521400240241
62142055200
7366653526
oct127746520
947340420
1023055696
11120180a4
12787a500
134a13231
1430c2316
1520564b6
hex15fcd50

23055696 has 60 divisors (see below), whose sum is σ = 66760980. Its totient is φ = 7418880.

The previous prime is 23055677. The next prime is 23055713. The reversal of 23055696 is 69655032.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 13838400 = 3036^2 + 3720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23055696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416 + ... + 6936.

It is an arithmetic number, because the mean of its divisors is an integer number (1112683).

Almost surely, 223055696 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 23055696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33380490).

23055696 is an abundant number, since it is smaller than the sum of its proper divisors (43705284).

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

23055696 is a wasteful number, since it uses less digits than its factorization.

23055696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 23055696 is about 4801.6347216339. The cubic root of 23055696 is about 284.6160665864.

It can be divided in two parts, 2305 and 5696, that added together give a triangular number (8001 = T126).

The spelling of 23055696 in words is "twenty-three million, fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 5521 11042 16563 22084 33126 44168 49689 66252 88336 99378 132504 160109 198756 265008 320218 397512 480327 640436 795024 960654 1280872 1440981 1921308 2561744 2881962 3842616 5763924 7685232 11527848 23055696