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23124920 = 2357136353
BaseRepresentation
bin101100000110…
…1101110111000
31121111212102112
41120031232320
521404444140
62143351452
7400362410
oct130155670
947455375
1023124920
1112065105
1278b2588
134a388b0
1430dd640
15206bc65
hex160dbb8

23124920 has 64 divisors (see below), whose sum is σ = 64048320. Its totient is φ = 7317504.

The previous prime is 23124911. The next prime is 23124931. The reversal of 23124920 is 2942132.

It is a congruent number.

It is an unprimeable number.

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, 464 + ... + 6816.

It is an arithmetic number, because the mean of its divisors is an integer number (1000755).

Almost surely, 223124920 is an apocalyptic number.

23124920 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 23124920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32024160).

23124920 is an abundant number, since it is smaller than the sum of its proper divisors (40923400).

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

23124920 is a wasteful number, since it uses less digits than its factorization.

23124920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 23124920 is about 4808.8376974067. The cubic root of 23124920 is about 284.9006322304.

The spelling of 23124920 in words is "twenty-three million, one hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 6353 12706 25412 31765 44471 50824 63530 82589 88942 127060 165178 177884 222355 254120 330356 355768 412945 444710 578123 660712 825890 889420 1156246 1651780 1778840 2312492 2890615 3303560 4624984 5781230 11562460 23124920