Search a number
-
+
23676864 = 263127971
BaseRepresentation
bin101101001010…
…0011111000000
31122112220112220
41122110133000
522030124424
62203251040
7405151521
oct132243700
948486486
1023676864
1112401862
127b19a80
134b9cba3
143204848
15212a579
hex16947c0

23676864 has 56 divisors (see below), whose sum is σ = 63203328. Its totient is φ = 7822080.

The previous prime is 23676859. The next prime is 23676881. The reversal of 23676864 is 46867632.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 23899 + ... + 24869.

Almost surely, 223676864 is an apocalyptic number.

23676864 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 23676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31601664).

23676864 is an abundant number, since it is smaller than the sum of its proper divisors (39526464).

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

23676864 is a wasteful number, since it uses less digits than its factorization.

23676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1103 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 23676864 is about 4865.8877915546. The cubic root of 23676864 is about 287.1494969947.

The spelling of 23676864 in words is "twenty-three million, six hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 971 1016 1524 1942 2032 2913 3048 3884 4064 5826 6096 7768 8128 11652 12192 15536 23304 24384 31072 46608 62144 93216 123317 186432 246634 369951 493268 739902 986536 1479804 1973072 2959608 3946144 5919216 7892288 11838432 23676864