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136052100 = 223252151169
BaseRepresentation
bin10000001101111…
…11110110000100
3100111000011101200
420012333312010
5234312131400
621300022500
73241265232
oct1006776604
9314004350
10136052100
116a885a58
1239691a30
1322257402
14140d7952
15be26b00
hex81bfd84

136052100 has 54 divisors (see below), whose sum is σ = 426450570. Its totient is φ = 36280320.

The previous prime is 136052093. The next prime is 136052131. The reversal of 136052100 is 1250631.

136052100 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 3 ways, for example, as 40755456 + 95296644 = 6384^2 + 9762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74685 + ... + 76484.

Almost surely, 2136052100 is an apocalyptic number.

136052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136052100 is an abundant number, since it is smaller than the sum of its proper divisors (290398470).

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

136052100 is a wasteful number, since it uses less digits than its factorization.

136052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151189 (or 151179 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 136052100 is about 11664.1373448704. The cubic root of 136052100 is about 514.3219782630.

The spelling of 136052100 in words is "one hundred thirty-six million, fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 151169 302338 453507 604676 755845 907014 1360521 1511690 1814028 2267535 2721042 3023380 3779225 4535070 5442084 6802605 7558450 9070140 11337675 13605210 15116900 22675350 27210420 34013025 45350700 68026050 136052100