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136352384 = 277314909
BaseRepresentation
bin10000010000010…
…01001010000000
3100111120102022022
420020021022000
5234401234014
621310301012
73243655550
oct1010111200
9314512268
10136352384
116aa70623
12397b7768
1322330cac
1414175160
15be85a8e
hex8209280

136352384 has 64 divisors (see below), whose sum is σ = 320524800. Its totient is φ = 56540160.

The previous prime is 136352383. The next prime is 136352387. The reversal of 136352384 is 483253631.

136352384 is digitally balanced in base 3, 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 (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (136352383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25322 + ... + 30230.

It is an arithmetic number, because the mean of its divisors is an integer number (5008200).

Almost surely, 2136352384 is an apocalyptic number.

136352384 is a gapful number since it is divisible by the number (14) 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 136352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160262400).

136352384 is an abundant number, since it is smaller than the sum of its proper divisors (184172416).

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

136352384 is an equidigital number, since it uses as much as digits as its factorization.

136352384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4949 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 136352384 is about 11677.0023550567. The cubic root of 136352384 is about 514.7000911949.

The spelling of 136352384 in words is "one hundred thirty-six million, three hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 4909 6944 9818 13888 19636 27776 34363 39272 68726 78544 137452 152179 157088 274904 304358 314176 549808 608716 628352 1065253 1099616 1217432 2130506 2199232 2434864 4261012 4398464 4869728 8522024 9739456 17044048 19478912 34088096 68176192 136352384