Search a number
-
+
23137920 = 2733513103
BaseRepresentation
bin101100001000…
…0111010000000
31121112112021000
41120100322000
521410403140
62143532000
7400445331
oct130207200
947475230
1023137920
1112073953
1278ba000
134a417a0
143104288
152070a30
hex1610e80

23137920 has 256 divisors, whose sum is σ = 89107200. Its totient is φ = 5640192.

The previous prime is 23137903. The next prime is 23137921. The reversal of 23137920 is 2973132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23137921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224589 + ... + 224691.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 223137920 is an apocalyptic number.

23137920 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 23137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553600).

23137920 is an abundant number, since it is smaller than the sum of its proper divisors (65969280).

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

23137920 is a wasteful number, since it uses less digits than its factorization.

23137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 23137920 is about 4810.1891854687. The cubic root of 23137920 is about 284.9540091993.

The spelling of 23137920 in words is "twenty-three million, one hundred thirty-seven thousand, nine hundred twenty".