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136176640 = 210526597
BaseRepresentation
bin10000001110111…
…10010000000000
3100111020111020021
420013132100000
5234330123030
621302423224
73242324305
oct1007362000
9314214207
10136176640
116a960586
1239731b14
132229bcc2
141412b0ac
15be4d97a
hex81de400

136176640 has 44 divisors (see below), whose sum is σ = 326676636. Its totient is φ = 54468608.

The previous prime is 136176631. The next prime is 136176641. The reversal of 136176640 is 46671631.

It can be written as a sum of positive squares in 2 ways, for example, as 89718784 + 46457856 = 9472^2 + 6816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 136176596 and 136176605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136176641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8179 + ... + 18418.

It is an arithmetic number, because the mean of its divisors is an integer number (7424469).

Almost surely, 2136176640 is an apocalyptic number.

136176640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136176640 is an abundant number, since it is smaller than the sum of its proper divisors (190499996).

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

136176640 is an equidigital number, since it uses as much as digits as its factorization.

136176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26622 (or 26604 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 136176640 is about 11669.4747096860. The cubic root of 136176640 is about 514.4788645453.

The spelling of 136176640 in words is "one hundred thirty-six million, one hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 26597 53194 106388 132985 212776 265970 425552 531940 851104 1063880 1702208 2127760 3404416 4255520 6808832 8511040 13617664 17022080 27235328 34044160 68088320 136176640