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136301868 = 223215312473
BaseRepresentation
bin10000001111111…
…00110100101100
3100111110212000100
420013330310230
5234343124433
621305231100
73243355353
oct1007746454
9314425010
10136301868
116aa3667a
1239792490
1322313cc1
141416099a
15be75b13
hex81fcd2c

136301868 has 36 divisors (see below), whose sum is σ = 344905288. Its totient is φ = 45385920.

The previous prime is 136301863. The next prime is 136301929. The reversal of 136301868 is 868103631.

136301868 is a `hidden beast` number, since 1 + 3 + 630 + 18 + 6 + 8 = 666.

136301868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (136301863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53880 + ... + 56352.

Almost surely, 2136301868 is an apocalyptic number.

136301868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136301868 is an abundant number, since it is smaller than the sum of its proper divisors (208603420).

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

136301868 is a wasteful number, since it uses less digits than its factorization.

136301868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136301868 is about 11674.8390995337. The cubic root of 136301868 is about 514.6365211015.

The spelling of 136301868 in words is "one hundred thirty-six million, three hundred one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1531 2473 3062 4593 4946 6124 7419 9186 9892 13779 14838 18372 22257 27558 29676 44514 55116 89028 3786163 7572326 11358489 15144652 22716978 34075467 45433956 68150934 136301868