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136853632 = 275320173
BaseRepresentation
bin10000010100000…
…11100010000000
3100112111212220001
420022003202000
5240013304012
621325125344
73251144116
oct1012034200
9315455801
10136853632
1170283183
12399b9854
13224781a6
1414265ab6
15c034357
hex8283880

136853632 has 32 divisors (see below), whose sum is σ = 277795980. Its totient is φ = 67132416.

The previous prime is 136853593. The next prime is 136853641. The reversal of 136853632 is 236358631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106998336 + 29855296 = 10344^2 + 5464^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 136853591 and 136853600.

It is an unprimeable number.

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, 3303 + ... + 16870.

Almost surely, 2136853632 is an apocalyptic number.

It is an amenable number.

136853632 is an abundant number, since it is smaller than the sum of its proper divisors (140942348).

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

136853632 is an equidigital number, since it uses as much as digits as its factorization.

136853632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20240 (or 20228 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 136853632 is about 11698.4457087256. The cubic root of 136853632 is about 515.3300200372.

The spelling of 136853632 in words is "one hundred thirty-six million, eight hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 20173 40346 80692 161384 322768 645536 1069169 1291072 2138338 2582144 4276676 8553352 17106704 34213408 68426816 136853632