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23132120 = 23511192767
BaseRepresentation
bin101100000111…
…1011111011000
31121112020022012
41120033133120
521410211440
62143445052
7400422404
oct130173730
947466265
1023132120
111206a560
1278b6788
134a3bc5b
143102104
15206de65
hex160f7d8

23132120 has 64 divisors (see below), whose sum is σ = 59788800. Its totient is φ = 7966080.

The previous prime is 23132119. The next prime is 23132147. The reversal of 23132120 is 2123132.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23132095 and 23132104.

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, 6977 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (934200).

Almost surely, 223132120 is an apocalyptic number.

23132120 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 23132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29894400).

23132120 is an abundant number, since it is smaller than the sum of its proper divisors (36656680).

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

23132120 is a wasteful number, since it uses less digits than its factorization.

23132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 23132120 is about 4809.5862607921. The cubic root of 23132120 is about 284.9301973302.

Adding to 23132120 its reverse (2123132), we get a palindrome (25255252).

The spelling of 23132120 in words is "twenty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 2767 4180 5534 8360 11068 13835 22136 27670 30437 52573 55340 60874 105146 110680 121748 152185 210292 243496 262865 304370 420584 525730 578303 608740 1051460 1156606 1217480 2102920 2313212 2891515 4626424 5783030 11566060 23132120