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136090368 = 28346563
BaseRepresentation
bin10000001110010…
…01001100000000
3100111002002220000
420013021030000
5234314342433
621300520000
73241514631
oct1007111400
9314062800
10136090368
116a901787
12396b0000
132226b95b
1414107888
15be33113
hex81c9300

136090368 has 90 divisors (see below), whose sum is σ = 405858684. Its totient is φ = 45356544.

The previous prime is 136090363. The next prime is 136090393. The reversal of 136090368 is 863090631.

It is a happy number.

136090368 is a `hidden beast` number, since 13 + 609 + 0 + 36 + 8 = 666.

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 (136090363) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17455 + ... + 24017.

Almost surely, 2136090368 is an apocalyptic number.

136090368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202929342).

136090368 is an abundant number, since it is smaller than the sum of its proper divisors (269768316).

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

136090368 is an frugal number, since it uses more digits than its factorization.

136090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136090368 is about 11665.7776423177. Note that the first 3 decimals coincide. The cubic root of 136090368 is about 514.3701956454.

The spelling of 136090368 in words is "one hundred thirty-six million, ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6563 6912 10368 13126 19689 20736 26252 39378 52504 59067 78756 105008 118134 157512 177201 210016 236268 315024 354402 420032 472536 531603 630048 708804 840064 945072 1063206 1260096 1417608 1680128 1890144 2126412 2520192 2835216 3780288 4252824 5040384 5670432 7560576 8505648 11340864 15121152 17011296 22681728 34022592 45363456 68045184 136090368