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23145876 = 223213192137
BaseRepresentation
bin101100001001…
…0110110010100
31121112221011200
41120102312110
521411132001
62144032500
7400510455
oct130226624
947487150
1023145876
1112079926
127902730
134a452b0
14310712c
152073086
hex1612d94

23145876 has 108 divisors (see below), whose sum is σ = 66984372. Its totient is φ = 6697728.

The previous prime is 23145827. The next prime is 23145883. The reversal of 23145876 is 67854132.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 15023376 = 2850^2 + 3876^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23145876.

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 35 ways as a sum of consecutive naturals, for example, 168880 + ... + 169016.

Almost surely, 223145876 is an apocalyptic number.

23145876 is a gapful number since it is divisible by the number (26) 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 23145876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33492186).

23145876 is an abundant number, since it is smaller than the sum of its proper divisors (43838496).

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

23145876 is a wasteful number, since it uses less digits than its factorization.

23145876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 23145876 is about 4811.0161088901. The cubic root of 23145876 is about 284.9866660428.

The spelling of 23145876 in words is "twenty-three million, one hundred forty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 137 156 171 228 234 247 274 342 361 411 468 494 548 684 722 741 822 988 1083 1233 1444 1482 1644 1781 2166 2223 2466 2603 2964 3249 3562 4332 4446 4693 4932 5206 5343 6498 7124 7809 8892 9386 10412 10686 12996 14079 15618 16029 18772 21372 23427 28158 31236 32058 33839 42237 46854 49457 56316 64116 67678 84474 93708 98914 101517 135356 148371 168948 197828 203034 296742 304551 406068 445113 593484 609102 642941 890226 1218204 1285882 1780452 1928823 2571764 3857646 5786469 7715292 11572938 23145876