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136304232 = 23317439761
BaseRepresentation
bin10000001111111…
…01011001101000
3100111110222020220
420013331121220
5234343213412
621305250040
73243365301
oct1007753150
9314428226
10136304232
116aa38429
1239793920
13223150bc
14141617a8
15be7668c
hex81fd668

136304232 has 64 divisors (see below), whose sum is σ = 362102400. Its totient is φ = 42608640.

The previous prime is 136304209. The next prime is 136304237. The reversal of 136304232 is 232403631.

136304232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1363042322 = 37157687322219648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (136304237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178732 + ... + 179492.

It is an arithmetic number, because the mean of its divisors is an integer number (5657850).

Almost surely, 2136304232 is an apocalyptic number.

136304232 is a gapful number since it is divisible by the number (12) 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 136304232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051200).

136304232 is an abundant number, since it is smaller than the sum of its proper divisors (225798168).

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

136304232 is a wasteful number, since it uses less digits than its factorization.

136304232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 136304232 is about 11674.9403424600. The cubic root of 136304232 is about 514.6394963449.

Adding to 136304232 its reverse (232403631), we get a palindrome (368707863).

The spelling of 136304232 in words is "one hundred thirty-six million, three hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 439 761 878 1317 1522 1756 2283 2634 3044 3512 4566 5268 6088 7463 9132 10536 12937 14926 18264 22389 25874 29852 38811 44778 51748 59704 77622 89556 103496 155244 179112 310488 334079 668158 1002237 1336316 2004474 2672632 4008948 5679343 8017896 11358686 17038029 22717372 34076058 45434744 68152116 136304232