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136040432 = 24112632939
BaseRepresentation
bin10000001101111…
…00111111110000
3100110222120101112
420012330333300
5234311243212
621255452452
73241216223
oct1006747760
9313876345
10136040432
116a878210
1239687128
1322251cc8
14140d35ba
15be23422
hex81bcff0

136040432 has 40 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 61580480.

The previous prime is 136040417. The next prime is 136040441. The reversal of 136040432 is 234040631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 136040398 and 136040407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44819 + ... + 47757.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2136040432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

136040432 is an abundant number, since it is smaller than the sum of its proper divisors (152691088).

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

136040432 is a wasteful number, since it uses less digits than its factorization.

136040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 136040432 is about 11663.6371685680. The cubic root of 136040432 is about 514.3072748750.

The spelling of 136040432 in words is "one hundred thirty-six million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 263 526 1052 2104 2893 2939 4208 5786 5878 11572 11756 23144 23512 32329 46288 47024 64658 129316 258632 517264 772957 1545914 3091828 6183656 8502527 12367312 17005054 34010108 68020216 136040432