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136427328 = 263426317
BaseRepresentation
bin10000010000110…
…11011101000000
3100111201020010000
420020123131000
5234411133303
621312040000
73244420212
oct1010333500
9314636100
10136427328
1170011964
1239833000
132235913b
14141945b2
15be9cda3
hex821b740

136427328 has 70 divisors (see below), whose sum is σ = 404428706. Its totient is φ = 45474048.

The previous prime is 136427327. The next prime is 136427341. The reversal of 136427328 is 823724631.

It is a happy number.

136427328 is a `hidden beast` number, since 1 + 3 + 642 + 7 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 13483584 = 11088^2 + 3672^2 .

It is a super-2 number, since 2×1364273282 = 37224831650439168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136427292 and 136427301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136427327) 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, 7975 + ... + 18342.

Almost surely, 2136427328 is an apocalyptic number.

136427328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136427328 is an abundant number, since it is smaller than the sum of its proper divisors (268001378).

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

136427328 is an equidigital number, since it uses as much as digits as its factorization.

136427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26341 (or 26322 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 136427328 is about 11680.2109569990. The cubic root of 136427328 is about 514.7943729315.

The spelling of 136427328 in words is "one hundred thirty-six million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 26317 52634 78951 105268 157902 210536 236853 315804 421072 473706 631608 710559 842144 947412 1263216 1421118 1684288 1894824 2131677 2526432 2842236 3789648 4263354 5052864 5684472 7579296 8526708 11368944 15158592 17053416 22737888 34106832 45475776 68213664 136427328