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136838560 = 255855241
BaseRepresentation
bin10000010011111…
…11110110100000
3100112111010012211
420021333312200
5240012313220
621324531504
73251052145
oct1011776640
9315433184
10136838560
1170272921
12399b0b94
1322471381
14142603cc
15c02eb5a
hex827fda0

136838560 has 24 divisors (see below), whose sum is σ = 323281476. Its totient is φ = 54735360.

The previous prime is 136838549. The next prime is 136838567. The reversal of 136838560 is 65838631.

136838560 is digitally balanced in base 2, 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 135210384 + 1628176 = 11628^2 + 1276^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (136838567) 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, 427461 + ... + 427780.

Almost surely, 2136838560 is an apocalyptic number.

136838560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136838560 is an abundant number, since it is smaller than the sum of its proper divisors (186442916).

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

136838560 is an equidigital number, since it uses as much as digits as its factorization.

136838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855256 (or 855248 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 136838560 is about 11697.8015028466. The cubic root of 136838560 is about 515.3111011892.

The spelling of 136838560 in words is "one hundred thirty-six million, eight hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 855241 1710482 3420964 4276205 6841928 8552410 13683856 17104820 27367712 34209640 68419280 136838560