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23728264 = 2371929769
BaseRepresentation
bin101101010000…
…1000010001000
31122122112001121
41122201002020
522033301024
62204325024
7405454420
oct132410210
948575047
1023728264
111243743a
127b43774
134bba3c1
143219480
15213a8e4
hex16a1088

23728264 has 64 divisors (see below), whose sum is σ = 55440000. Its totient is φ = 9289728.

The previous prime is 23728261. The next prime is 23728267. The reversal of 23728264 is 46282732.

It is an interprime number because it is at equal distance from previous prime (23728261) and next prime (23728267).

It is not an unprimeable number, because it can be changed into a prime (23728261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30472 + ... + 31240.

It is an arithmetic number, because the mean of its divisors is an integer number (866250).

Almost surely, 223728264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23728264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27720000).

23728264 is an abundant number, since it is smaller than the sum of its proper divisors (31711736).

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

23728264 is a wasteful number, since it uses less digits than its factorization.

23728264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 23728264 is about 4871.1665953855. The cubic root of 23728264 is about 287.3571373389.

The spelling of 23728264 in words is "twenty-three million, seven hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 116 133 152 203 232 266 406 532 551 769 812 1064 1102 1538 1624 2204 3076 3857 4408 5383 6152 7714 10766 14611 15428 21532 22301 29222 30856 43064 44602 58444 89204 102277 116888 156107 178408 204554 312214 409108 423719 624428 818216 847438 1248856 1694876 2966033 3389752 5932066 11864132 23728264