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23291712 = 26344493
BaseRepresentation
bin101100011011…
…0011101000000
31121211100020000
41120312131000
521430313322
62151120000
7401655603
oct130663500
947740200
1023291712
1112169454
127973000
134a967a2
14314433a
1520a13ac
hex1636740

23291712 has 70 divisors (see below), whose sum is σ = 69059298. Its totient is φ = 7762176.

The previous prime is 23291707. The next prime is 23291729. The reversal of 23291712 is 21719232.

It can be written as a sum of positive squares in only one way, i.e., 23270976 + 20736 = 4824^2 + 144^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2938 + ... + 7430.

Almost surely, 223291712 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 23291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34529649).

23291712 is an abundant number, since it is smaller than the sum of its proper divisors (45767586).

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

23291712 is an equidigital number, since it uses as much as digits as its factorization.

23291712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4498 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 23291712 is about 4826.1487751622. The cubic root of 23291712 is about 285.5839550339.

The spelling of 23291712 in words is "twenty-three million, two hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4493 5184 8986 13479 17972 26958 35944 40437 53916 71888 80874 107832 121311 143776 161748 215664 242622 287552 323496 363933 431328 485244 646992 727866 862656 970488 1293984 1455732 1940976 2587968 2911464 3881952 5822928 7763904 11645856 23291712