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136964592 = 24328910687
BaseRepresentation
bin10000010100111…
…10100111110000
3100112201112002200
420022132213300
5240030331332
621331343200
73252115452
oct1012364760
9315645080
10136964592
1170349586
1239a51b00
13224b684b
14142942d2
15c05717c
hex829e9f0

136964592 has 60 divisors (see below), whose sum is σ = 387653760. Its totient is φ = 45137664.

The previous prime is 136964579. The next prime is 136964657. The reversal of 136964592 is 295469631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7473 + ... + 18159.

It is an arithmetic number, because the mean of its divisors is an integer number (6460896).

Almost surely, 2136964592 is an apocalyptic number.

136964592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136964592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193826880).

136964592 is an abundant number, since it is smaller than the sum of its proper divisors (250689168).

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

136964592 is a wasteful number, since it uses less digits than its factorization.

136964592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10781 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 136964592 is about 11703.1872581789. The cubic root of 136964592 is about 515.4692577789.

The spelling of 136964592 in words is "one hundred thirty-six million, nine hundred sixty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 10687 12816 21374 32061 42748 64122 85496 96183 128244 170992 192366 256488 384732 512976 769464 951143 1538928 1902286 2853429 3804572 5706858 7609144 8560287 11413716 15218288 17120574 22827432 34241148 45654864 68482296 136964592