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5807136 = 253241251
BaseRepresentation
bin10110001001110000100000
3101221000220010
4112021300200
52441312021
6324244520
7100234266
oct26116040
911830803
105807136
113306a95
121b40740
13128429a
14ab2436
1579a976
hex589c20

5807136 has 48 divisors (see below), whose sum is σ = 15367968. Its totient is φ = 1920000.

The previous prime is 5807119. The next prime is 5807147. The reversal of 5807136 is 6317085.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23011 + ... + 23261.

It is an arithmetic number, because the mean of its divisors is an integer number (320166).

Almost surely, 25807136 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 5807136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683984).

5807136 is an abundant number, since it is smaller than the sum of its proper divisors (9560832).

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

5807136 is a wasteful number, since it uses less digits than its factorization.

5807136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5807136 is about 2409.7999917006. The cubic root of 5807136 is about 179.7438331401.

The spelling of 5807136 in words is "five million, eight hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 251 482 502 723 753 964 1004 1446 1506 1928 2008 2892 3012 3856 4016 5784 6024 7712 8032 11568 12048 23136 24096 60491 120982 181473 241964 362946 483928 725892 967856 1451784 1935712 2903568 5807136