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23628132 = 22331119889
BaseRepresentation
bin101101000100…
…0100101100100
31122110102201000
41122020211210
522022100012
62202233300
7404556453
oct132104544
948412630
1023628132
1112379190
127ab5830
134b83958
1431d0b9a
15211addc
hex1688964

23628132 has 48 divisors (see below), whose sum is σ = 66830400. Its totient is φ = 7159680.

The previous prime is 23628131. The next prime is 23628139. The reversal of 23628132 is 23182632.

23628132 is a `hidden beast` number, since 2 + 3 + 628 + 1 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23628096 and 23628105.

It is not an unprimeable number, because it can be changed into a prime (23628131) 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, 8757 + ... + 11132.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 223628132 is an apocalyptic number.

23628132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23628132 is an abundant number, since it is smaller than the sum of its proper divisors (43202268).

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

23628132 is a wasteful number, since it uses less digits than its factorization.

23628132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19913 (or 19905 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23628132 is about 4860.8776985232. The cubic root of 23628132 is about 286.9523568565.

The spelling of 23628132 in words is "twenty-three million, six hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 19889 39778 59667 79556 119334 179001 218779 238668 358002 437558 537003 656337 716004 875116 1074006 1312674 1969011 2148012 2625348 3938022 5907033 7876044 11814066 23628132