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136431846 = 23241223829
BaseRepresentation
bin10000010000111…
…00100011100110
3100111201110022100
420020130203212
5234411304341
621312112530
73244436325
oct1010344346
9314643270
10136431846
11700152a1
1239835746
132235b205
14141960bc
15be9e3b6
hex821c8e6

136431846 has 48 divisors (see below), whose sum is σ = 304536960. Its totient is φ = 44115840.

The previous prime is 136431821. The next prime is 136431857. The reversal of 136431846 is 648134631.

It is a happy number.

136431846 is a `hidden beast` number, since 1 + 3 + 643 + 1 + 8 + 4 + 6 = 666.

It is a super-2 number, since 2×1364318462 = 37227297205935432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 136431846.

It is a congruent number.

It is an unprimeable number.

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, 164160 + ... + 164988.

It is an arithmetic number, because the mean of its divisors is an integer number (6344520).

Almost surely, 2136431846 is an apocalyptic number.

136431846 is an abundant number, since it is smaller than the sum of its proper divisors (168105114).

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

136431846 is a wasteful number, since it uses less digits than its factorization.

136431846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1098 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 136431846 is about 11680.4043594389. The cubic root of 136431846 is about 514.8000556035.

The spelling of 136431846 in words is "one hundred thirty-six million, four hundred thirty-one thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 41 82 123 223 246 369 446 669 738 829 1338 1658 2007 2487 4014 4974 7461 9143 14922 18286 27429 33989 54858 67978 82287 101967 164574 184867 203934 305901 369734 554601 611802 1109202 1663803 3327606 7579547 15159094 22738641 45477282 68215923 136431846