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136315432 = 231131107467
BaseRepresentation
bin10000010000000…
…00001000101000
3100111111112121201
420020000020220
5234344043212
621305413544
73243443041
oct1010001050
9314445551
10136315432
116aa45890
123979a2b4
132231a226
14141658c8
15be79b57
hex8200228

136315432 has 64 divisors (see below), whose sum is σ = 291133440. Its totient is φ = 59275200.

The previous prime is 136315427. The next prime is 136315441. The reversal of 136315432 is 234513631.

It is a self number, because there is not a number n which added to its sum of digits gives 136315432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291663 + ... + 292129.

It is an arithmetic number, because the mean of its divisors is an integer number (4548960).

Almost surely, 2136315432 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 136315432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145566720).

136315432 is an abundant number, since it is smaller than the sum of its proper divisors (154818008).

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

136315432 is a wasteful number, since it uses less digits than its factorization.

136315432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 136315432 is about 11675.4199924457. The cubic root of 136315432 is about 514.6535917852.

The spelling of 136315432 in words is "one hundred thirty-six million, three hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 107 124 214 248 341 428 467 682 856 934 1177 1364 1868 2354 2728 3317 3736 4708 5137 6634 9416 10274 13268 14477 20548 26536 28954 36487 41096 49969 57908 72974 99938 115816 145948 159247 199876 291896 318494 399752 549659 636988 1099318 1273976 1549039 2198636 3098078 4397272 6196156 12392312 17039429 34078858 68157716 136315432