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136582314 = 2311672461
BaseRepresentation
bin10000010010000…
…01010010101010
3100112000002201020
420021001102222
5234431113224
621315233310
73245634111
oct1011012252
9315002636
10136582314
1170108350
12398a8836
13223b184b
14141d4c78
15becdc79
hex82414aa

136582314 has 48 divisors (see below), whose sum is σ = 303168096. Its totient is φ = 40682400.

The previous prime is 136582291. The next prime is 136582321. The reversal of 136582314 is 413285631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296044 + ... + 296504.

It is an arithmetic number, because the mean of its divisors is an integer number (6316002).

Almost surely, 2136582314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136582314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151584048).

136582314 is an abundant number, since it is smaller than the sum of its proper divisors (166585782).

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

136582314 is a wasteful number, since it uses less digits than its factorization.

136582314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 544 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 136582314 is about 11686.8436286279. The cubic root of 136582314 is about 514.9892403571.

The spelling of 136582314 in words is "one hundred thirty-six million, five hundred eighty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 461 737 922 1383 1474 2211 2766 4422 4489 5071 8978 10142 13467 15213 26934 30426 30887 49379 61774 92661 98758 148137 185322 296274 339757 679514 1019271 2038542 2069429 4138858 6208287 12416574 22763719 45527438 68291157 136582314