Search a number
-
+
23616640 = 27536901
BaseRepresentation
bin101101000010…
…1110010000000
31122102211221101
41122011302000
522021213030
62202104144
7404511115
oct132056200
948384841
1023616640
1112370593
127aab054
134b7b658
1431ca90c
1521177ca
hex1685c80

23616640 has 32 divisors (see below), whose sum is σ = 56460060. Its totient is φ = 9446400.

The previous prime is 23616631. The next prime is 23616667. The reversal of 23616640 is 4661632.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 3474496 = 4488^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 23616599 and 23616608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17811 + ... + 19090.

Almost surely, 223616640 is an apocalyptic number.

23616640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23616640 is an abundant number, since it is smaller than the sum of its proper divisors (32843420).

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

23616640 is an equidigital number, since it uses as much as digits as its factorization.

23616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36920 (or 36908 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 23616640 is about 4859.6954637096. The cubic root of 23616640 is about 286.9058276986.

The spelling of 23616640 in words is "twenty-three million, six hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 36901 73802 147604 184505 295208 369010 590416 738020 1180832 1476040 2361664 2952080 4723328 5904160 11808320 23616640