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23130072 = 2332745893
BaseRepresentation
bin101100000111…
…0111111011000
31121112010111100
41120032333120
521410130242
62143431400
7400413420
oct130167730
947463440
1023130072
1112068a69
1278b5560
134a3b044
143101480
15206d54c
hex160efd8

23130072 has 48 divisors (see below), whose sum is σ = 71594640. Its totient is φ = 6608448.

The previous prime is 23130071. The next prime is 23130073. The reversal of 23130072 is 27003132.

It is an interprime number because it is at equal distance from previous prime (23130071) and next prime (23130073).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22443 + ... + 23450.

It is an arithmetic number, because the mean of its divisors is an integer number (1491555).

Almost surely, 223130072 is an apocalyptic number.

It is an amenable number.

23130072 is an abundant number, since it is smaller than the sum of its proper divisors (48464568).

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

23130072 is a wasteful number, since it uses less digits than its factorization.

23130072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45912 (or 45905 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 23130072 is about 4809.3733479529. The cubic root of 23130072 is about 284.9217883262.

It can be divided in two parts, 231 and 30072, that added together give a palindrome (30303).

The spelling of 23130072 in words is "twenty-three million, one hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 45893 91786 137679 183572 275358 321251 367144 413037 550716 642502 826074 963753 1101432 1285004 1652148 1927506 2570008 2891259 3304296 3855012 5782518 7710024 11565036 23130072