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23142504 = 23372111789
BaseRepresentation
bin101100001001…
…0000001101000
31121112202112210
41120102001220
521411030004
62144005120
7400464600
oct130220150
947482483
1023142504
1112077340
1279007a0
134a438b8
143105c00
152072089
hex1612068

23142504 has 96 divisors (see below), whose sum is σ = 73461600. Its totient is φ = 6007680.

The previous prime is 23142499. The next prime is 23142517. The reversal of 23142504 is 40524132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12042 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (765225).

Almost surely, 223142504 is an apocalyptic number.

23142504 is a gapful number since it is divisible by the number (24) 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 23142504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36730800).

23142504 is an abundant number, since it is smaller than the sum of its proper divisors (50319096).

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

23142504 is a wasteful number, since it uses less digits than its factorization.

23142504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 23142504 is about 4810.6656504064. The cubic root of 23142504 is about 284.9728259717.

Adding to 23142504 its reverse (40524132), we get a palindrome (63666636).

The spelling of 23142504 in words is "twenty-three million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1789 1848 2156 3234 3578 4312 5367 6468 7156 10734 12523 12936 14312 19679 21468 25046 37569 39358 42936 50092 59037 75138 78716 87661 100184 118074 137753 150276 157432 175322 236148 262983 275506 300552 350644 413259 472296 525966 551012 701288 826518 964271 1051932 1102024 1653036 1928542 2103864 2892813 3306072 3857084 5785626 7714168 11571252 23142504