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23407137 = 341322229
BaseRepresentation
bin101100101001…
…0101000100001
31122001012120000
41121102220201
521443012022
62153410213
7402646245
oct131225041
948035500
1023407137
1112238146
127a09969
134b071a0
143174425
1520c56ac
hex1652a21

23407137 has 20 divisors (see below), whose sum is σ = 37657620. Its totient is φ = 14403744.

The previous prime is 23407133. The next prime is 23407151. The reversal of 23407137 is 73170432.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 18584721 = 2196^2 + 4311^2 .

It is not a de Polignac number, because 23407137 - 22 = 23407133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23407137.

It is not an unprimeable number, because it can be changed into a prime (23407133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10062 + ... + 12167.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 223407137 is an apocalyptic number.

23407137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23407137 is a deficient number, since it is larger than the sum of its proper divisors (14250483).

23407137 is a wasteful number, since it uses less digits than its factorization.

23407137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22254 (or 22245 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 23407137 is about 4838.0922893223. The cubic root of 23407137 is about 286.0549269372.

Adding to 23407137 its reverse (73170432), we get a palindrome (96577569).

The spelling of 23407137 in words is "twenty-three million, four hundred seven thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 27 39 81 117 351 1053 22229 66687 200061 288977 600183 866931 1800549 2600793 7802379 23407137