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136882304 = 271382261
BaseRepresentation
bin10000010100010…
…10100010000000
3100112120100012222
420022022202000
5240020213204
621325510212
73251323526
oct1012124200
9315510188
10136882304
11702a2779
1239a12368
1322488260
1414272316
15c03cabe
hex828a880

136882304 has 32 divisors (see below), whose sum is σ = 293675340. Its totient is φ = 63175680.

The previous prime is 136882303. The next prime is 136882307. The reversal of 136882304 is 403288631.

It is a happy number.

136882304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112360000 + 24522304 = 10600^2 + 4952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (136882303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39467 + ... + 42794.

Almost surely, 2136882304 is an apocalyptic number.

It is an amenable number.

136882304 is an abundant number, since it is smaller than the sum of its proper divisors (156793036).

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

136882304 is an equidigital number, since it uses as much as digits as its factorization.

136882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82288 (or 82276 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 136882304 is about 11699.6711064884. The cubic root of 136882304 is about 515.3660061984.

The spelling of 136882304 in words is "one hundred thirty-six million, eight hundred eighty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 82261 164522 329044 658088 1069393 1316176 2138786 2632352 4277572 5264704 8555144 10529408 17110288 34220576 68441152 136882304