Search a number
-
+
23957460 = 22325133097
BaseRepresentation
bin101101101100…
…0111111010100
31200002011110100
41123120333110
522113114320
62213254100
7410430552
oct133307724
950064410
1023957460
111258365a
128034330
134c6a817
143278bd2
152183790
hex16d8fd4

23957460 has 36 divisors (see below), whose sum is σ = 72671508. Its totient is φ = 6388608.

The previous prime is 23957443. The next prime is 23957473. The reversal of 23957460 is 6475932.

23957460 is a `hidden beast` number, since 23 + 9 + 574 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4137156 + 19820304 = 2034^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66369 + ... + 66728.

It is an arithmetic number, because the mean of its divisors is an integer number (2018653).

Almost surely, 223957460 is an apocalyptic number.

23957460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23957460 is an abundant number, since it is smaller than the sum of its proper divisors (48714048).

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

23957460 is a wasteful number, since it uses less digits than its factorization.

23957460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133112 (or 133107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 23957460 is about 4894.6358393654. The cubic root of 23957460 is about 288.2793874447.

Subtracting from 23957460 its product of nonzero digits (45360), we obtain a square (23912100 = 48902).

The spelling of 23957460 in words is "twenty-three million, nine hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 133097 266194 399291 532388 665485 798582 1197873 1330970 1597164 1996455 2395746 2661940 3992910 4791492 5989365 7985820 11978730 23957460