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23137180 = 22511251419
BaseRepresentation
bin101100001000…
…0101110011100
31121112111020121
41120100232130
521410342210
62143524324
7400443223
oct130205634
947474217
1023137180
1112073340
1278b96a4
134a41351
143103cba
1520706da
hex1610b9c

23137180 has 48 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 8360000.

The previous prime is 23137171. The next prime is 23137201. The reversal of 23137180 is 8173132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55011 + ... + 55429.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 223137180 is an apocalyptic number.

23137180 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 23137180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

23137180 is an abundant number, since it is smaller than the sum of its proper divisors (30206180).

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

23137180 is a wasteful number, since it uses less digits than its factorization.

23137180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 23137180 is about 4810.1122648021. The cubic root of 23137180 is about 284.9509713547.

The spelling of 23137180 in words is "twenty-three million, one hundred thirty-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 419 502 838 1004 1255 1676 2095 2510 2761 4190 4609 5020 5522 8380 9218 11044 13805 18436 23045 27610 46090 55220 92180 105169 210338 420676 525845 1051690 1156859 2103380 2313718 4627436 5784295 11568590 23137180