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23160480 = 2535761113
BaseRepresentation
bin101100001011…
…0011010100000
31121120200012120
41120112122200
521412113410
62144224240
7400601160
oct130263240
947520176
1023160480
11120898a2
12790b080
134a4bb35
14310c5a0
152077570
hex16166a0

23160480 has 192 divisors, whose sum is σ = 85494528. Its totient is φ = 5160960.

The previous prime is 23160479. The next prime is 23160497. The reversal of 23160480 is 8406132.

23160480 = T335 + T336 + ... + T560.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23160480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204904 + ... + 205016.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 223160480 is an apocalyptic number.

23160480 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 23160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42747264).

23160480 is an abundant number, since it is smaller than the sum of its proper divisors (62334048).

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

23160480 is a wasteful number, since it uses less digits than its factorization.

23160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23160480 is about 4812.5336362461. The cubic root of 23160480 is about 285.0465913364.

The spelling of 23160480 in words is "twenty-three million, one hundred sixty thousand, four hundred eighty".