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23630520 = 23351911031
BaseRepresentation
bin101101000100…
…1001010111000
31122110112222110
41122021022320
522022134040
62202252320
7404566434
oct132111270
948415873
1023630520
111237aa61
127ab70a0
134b84a74
1431d19c4
15211b980
hex16892b8

23630520 has 64 divisors (see below), whose sum is σ = 71331840. Its totient is φ = 6262400.

The previous prime is 23630513. The next prime is 23630539. The reversal of 23630520 is 2503632.

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, 22405 + ... + 23435.

It is an arithmetic number, because the mean of its divisors is an integer number (1114560).

Almost surely, 223630520 is an apocalyptic number.

23630520 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 23630520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35665920).

23630520 is an abundant number, since it is smaller than the sum of its proper divisors (47701320).

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

23630520 is a wasteful number, since it uses less digits than its factorization.

23630520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 23630520 is about 4861.1233269688. The cubic root of 23630520 is about 286.9620235700.

The spelling of 23630520 in words is "twenty-three million, six hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1031 1146 1528 1910 2062 2292 2865 3093 3820 4124 4584 5155 5730 6186 7640 8248 10310 11460 12372 15465 20620 22920 24744 30930 41240 61860 123720 196921 393842 590763 787684 984605 1181526 1575368 1969210 2363052 2953815 3938420 4726104 5907630 7876840 11815260 23630520