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5955136 = 26112769
BaseRepresentation
bin10110101101111001000000
3102012112220121
4112231321000
53011031021
6331350024
7101421625
oct26557100
912175817
105955136
1133a8200
121bb2314
131306765
14b1034c
157c9741
hex5ade40

5955136 has 42 divisors (see below), whose sum is σ = 13006070. Its totient is φ = 2703360.

The previous prime is 5955119. The next prime is 5955139. The reversal of 5955136 is 6315595.

It can be written as a sum of positive squares in only one way, i.e., 4840000 + 1115136 = 2200^2 + 1056^2 .

It is not an unprimeable number, because it can be changed into a prime (5955139) 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 5 ways as a sum of consecutive naturals, for example, 7360 + ... + 8128.

Almost surely, 25955136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503035).

5955136 is an abundant number, since it is smaller than the sum of its proper divisors (7050934).

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

5955136 is a wasteful number, since it uses less digits than its factorization.

5955136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 782 counting only the distinct ones).

The product of its digits is 20250, while the sum is 34.

The square root of 5955136 is about 2440.3147337997. The cubic root of 5955136 is about 181.2580185117.

The spelling of 5955136 in words is "five million, nine hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 769 968 1538 1936 3076 3872 6152 7744 8459 12304 16918 24608 33836 49216 67672 93049 135344 186098 270688 372196 541376 744392 1488784 2977568 5955136