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23088960 = 263258017
BaseRepresentation
bin101100000010…
…0111101000000
31121110001002200
41120010331000
521402321320
62142513200
7400152516
oct130047500
947401080
1023088960
1112040094
127895800
134a2540b
1430d04b6
152061290
hex1604f40

23088960 has 84 divisors (see below), whose sum is σ = 79426308. Its totient is φ = 6156288.

The previous prime is 23088953. The next prime is 23088997. The reversal of 23088960 is 6988032.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 12278016 = 3288^2 + 3504^2 .

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

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, 1129 + ... + 6888.

Almost surely, 223088960 is an apocalyptic number.

23088960 is a gapful number since it is divisible by the number (20) 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 23088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39713154).

23088960 is an abundant number, since it is smaller than the sum of its proper divisors (56337348).

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

23088960 is a wasteful number, since it uses less digits than its factorization.

23088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23088960 is about 4805.0972934999. The cubic root of 23088960 is about 284.7528790450.

The spelling of 23088960 in words is "twenty-three million, eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 8017 16034 24051 32068 40085 48102 64136 72153 80170 96204 120255 128272 144306 160340 192408 240510 256544 288612 320680 360765 384816 481020 513088 577224 641360 721530 769632 962040 1154448 1282720 1443060 1539264 1924080 2308896 2565440 2886120 3848160 4617792 5772240 7696320 11544480 23088960