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23007012 = 2237793467
BaseRepresentation
bin101011111000…
…0111100100100
31121021212200120
41113300330210
521342211022
62141041540
7366361560
oct127607444
947255616
1023007012
1111a94566
1278562b0
1349c7022
1430ac6a0
152046d5c
hex15f0f24

23007012 has 48 divisors (see below), whose sum is σ = 62146560. Its totient is φ = 6488352.

The previous prime is 23007011. The next prime is 23007029. The reversal of 23007012 is 21070032.

It is a junction number, because it is equal to n+sod(n) for n = 23006982 and 23007000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23007011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4903 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (1294720).

Almost surely, 223007012 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 23007012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073280).

23007012 is an abundant number, since it is smaller than the sum of its proper divisors (39139548).

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

23007012 is a wasteful number, since it uses less digits than its factorization.

23007012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 23007012 is about 4796.5625191381. The cubic root of 23007012 is about 284.4155953317.

Adding to 23007012 its reverse (21070032), we get a palindrome (44077044).

The spelling of 23007012 in words is "twenty-three million, seven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 3467 6636 6934 10401 13868 20802 24269 41604 48538 72807 97076 145614 273893 291228 547786 821679 1095572 1643358 1917251 3286716 3834502 5751753 7669004 11503506 23007012