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23071312 = 2411217701
BaseRepresentation
bin101100000000…
…0101001010000
31121102010220001
41120000221100
521401240222
62142255344
7400050205
oct130005120
947363801
1023071312
1112028900
127887554
134a1a384
1430c7cac
15205ae27
hex1600a50

23071312 has 60 divisors (see below), whose sum is σ = 52098228. Its totient is φ = 9856000.

The previous prime is 23071303. The next prime is 23071319. The reversal of 23071312 is 21317032.

It can be written as a sum of positive squares in 2 ways, for example, as 18974736 + 4096576 = 4356^2 + 2024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23071312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23071319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32562 + ... + 33262.

Almost surely, 223071312 is an apocalyptic number.

23071312 is a gapful number since it is divisible by the number (22) 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 23071312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26049114).

23071312 is an abundant number, since it is smaller than the sum of its proper divisors (29026916).

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

23071312 is a wasteful number, since it uses less digits than its factorization.

23071312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 23071312 is about 4803.2605592451. The cubic root of 23071312 is about 284.6803104564.

Adding to 23071312 its reverse (21317032), we get a palindrome (44388344).

The spelling of 23071312 in words is "twenty-three million, seventy-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 701 748 968 1402 1496 1936 2057 2804 2992 4114 5608 7711 8228 11216 11917 15422 16456 23834 30844 32912 47668 61688 84821 95336 123376 131087 169642 190672 262174 339284 524348 678568 1048696 1357136 1441957 2097392 2883914 5767828 11535656 23071312