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136684352 = 26717131137
BaseRepresentation
bin10000010010110…
…10001101000000
3100112012021200102
420021122031000
5234442344402
621321341532
73246540440
oct1011321500
9315167612
10136684352
1170177a82
12399378a8
132241911c
1414220120
15beee102
hex825a340

136684352 has 112 divisors (see below), whose sum is σ = 333134208. Its totient is φ = 54312960.

The previous prime is 136684277. The next prime is 136684391. The reversal of 136684352 is 253486631.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1366843522 = 37365224163319808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997628 + ... + 997764.

Almost surely, 2136684352 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 136684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166567104).

136684352 is an abundant number, since it is smaller than the sum of its proper divisors (196449856).

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

136684352 is a wasteful number, since it uses less digits than its factorization.

136684352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 136684352 is about 11691.2083207853. The cubic root of 136684352 is about 515.1174545942.

The spelling of 136684352 in words is "one hundred thirty-six million, six hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 131 136 137 224 238 262 272 274 448 476 524 544 548 917 952 959 1048 1088 1096 1834 1904 1918 2096 2192 2227 2329 3668 3808 3836 4192 4384 4454 4658 7336 7616 7672 8384 8768 8908 9316 14672 15344 15589 16303 17816 17947 18632 29344 30688 31178 32606 35632 35894 37264 58688 61376 62356 65212 71264 71788 74528 124712 125629 130424 142528 143576 149056 249424 251258 260848 287152 305099 498848 502516 521696 574304 610198 997696 1005032 1043392 1148608 1220396 2010064 2135693 2440792 4020128 4271386 4881584 8040256 8542772 9763168 17085544 19526336 34171088 68342176 136684352