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23275320 = 2335732657
BaseRepresentation
bin101100011001…
…0011100111000
31121210111201220
41120302130320
521424302240
62150512040
7401560035
oct130623470
947714656
1023275320
1112158102
127965620
134a8c1a3
14313c38c
15209b5d0
hex1632738

23275320 has 64 divisors (see below), whose sum is σ = 70809120. Its totient is φ = 6119424.

The previous prime is 23275309. The next prime is 23275339. The reversal of 23275320 is 2357232.

It is a super-2 number, since 2×232753202 = 1083481042204800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7432 + ... + 10088.

Almost surely, 223275320 is an apocalyptic number.

23275320 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 23275320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35404560).

23275320 is an abundant number, since it is smaller than the sum of its proper divisors (47533800).

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

23275320 is a wasteful number, since it uses less digits than its factorization.

23275320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 23275320 is about 4824.4502277462. The cubic root of 23275320 is about 285.5169442047.

The spelling of 23275320 in words is "twenty-three million, two hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2657 2920 4380 5314 7971 8760 10628 13285 15942 21256 26570 31884 39855 53140 63768 79710 106280 159420 193961 318840 387922 581883 775844 969805 1163766 1551688 1939610 2327532 2909415 3879220 4655064 5818830 7758440 11637660 23275320