Search a number
-
+
5956137 = 3211173539
BaseRepresentation
bin10110101110001000101001
3102012121021200
4112232020221
53011044022
6331354413
7101424555
oct26561051
912177250
105956137
1133a8a30
121bb2a09
131307055
14b10865
157c9bac
hex5ae229

5956137 has 24 divisors (see below), whose sum is σ = 9940320. Its totient is φ = 3396480.

The previous prime is 5956133. The next prime is 5956141. The reversal of 5956137 is 7316595.

It is a happy number.

5956137 is a `hidden beast` number, since 595 + 61 + 3 + 7 = 666.

5956137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5956133) and next prime (5956141).

It is not a de Polignac number, because 5956137 - 22 = 5956133 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 87 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (414180).

Almost surely, 25956137 is an apocalyptic number.

It is an amenable number.

5956137 is a deficient number, since it is larger than the sum of its proper divisors (3984183).

5956137 is a wasteful number, since it uses less digits than its factorization.

5956137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573 (or 3570 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 5956137 is about 2440.5198216773. The cubic root of 5956137 is about 181.2681738415.

The spelling of 5956137 in words is "five million, nine hundred fifty-six thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 3539 10617 31851 38929 60163 116787 180489 350361 541467 661793 1985379 5956137