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23132000 = 25535783
BaseRepresentation
bin101100000111…
…1011101100000
31121112020010202
41120033131200
521410211000
62143444332
7400422143
oct130173540
947466122
1023132000
111206a461
1278b66a8
134a3bb98
14310205a
15206ddd5
hex160f760

23132000 has 48 divisors (see below), whose sum is σ = 56845152. Its totient is φ = 9251200.

The previous prime is 23131973. The next prime is 23132023. The reversal of 23132000 is 23132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1109 + ... + 6891.

It is an arithmetic number, because the mean of its divisors is an integer number (1184274).

Almost surely, 223132000 is an apocalyptic number.

23132000 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 23132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422576).

23132000 is an abundant number, since it is smaller than the sum of its proper divisors (33713152).

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

23132000 is an equidigital number, since it uses as much as digits as its factorization.

23132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 23132000 is about 4809.5737856904. The cubic root of 23132000 is about 284.9297046288.

Adding to 23132000 its reverse (23132), we get a palindrome (23155132).

23132000 divided by its reverse (23132) gives a cube (1000 = 103).

The spelling of 23132000 in words is "twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5783 11566 23132 28915 46264 57830 92528 115660 144575 185056 231320 289150 462640 578300 722875 925280 1156600 1445750 2313200 2891500 4626400 5783000 11566000 23132000