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136232740 = 225742837
BaseRepresentation
bin10000001111010…
…11111100100100
3100111100100012001
420013223330210
5234333421430
621303535044
73242650000
oct1007537444
9314310161
10136232740
116a999746
123975a484
13222bb6b7
1414143700
15be603ca
hex81ebf24

136232740 has 60 divisors (see below), whose sum is σ = 333867996. Its totient is φ = 46691904.

The previous prime is 136232659. The next prime is 136232809. The reversal of 136232740 is 47232631.

136232740 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 22127616 + 114105124 = 4704^2 + 10682^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 136232699 and 136232708.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46602 + ... + 49438.

Almost surely, 2136232740 is an apocalyptic number.

136232740 is a gapful number since it is divisible by the number (10) 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 136232740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166933998).

136232740 is an abundant number, since it is smaller than the sum of its proper divisors (197635256).

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

136232740 is an equidigital number, since it uses as much as digits as its factorization.

136232740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 136232740 is about 11671.8781693436. The cubic root of 136232740 is about 514.5495039291.

The spelling of 136232740 in words is "one hundred thirty-six million, two hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 2837 3430 4802 5674 6860 9604 11348 12005 14185 19859 24010 28370 39718 48020 56740 79436 99295 139013 198590 278026 397180 556052 695065 973091 1390130 1946182 2780260 3892364 4865455 6811637 9730910 13623274 19461820 27246548 34058185 68116370 136232740