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136510272 = 2634171549
BaseRepresentation
bin10000010001011…
…11101101000000
3100111212102220000
420020233231000
5234421312042
621313520000
73245214063
oct1010575500
9314772800
10136510272
1170069208
1239873000
1322387b12
14141b68da
15beb774c
hex822fb40

136510272 has 140 divisors (see below), whose sum is σ = 428739300. Its totient is φ = 42799104.

The previous prime is 136510261. The next prime is 136510291. The reversal of 136510272 is 272015631.

It is a happy number.

136510272 is a `hidden beast` number, since 1 + 3 + 651 + 0 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 59351616 = 8784^2 + 7704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87354 + ... + 88902.

Almost surely, 2136510272 is an apocalyptic number.

136510272 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 136510272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214369650).

136510272 is an abundant number, since it is smaller than the sum of its proper divisors (292229028).

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

136510272 is a wasteful number, since it uses less digits than its factorization.

136510272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 136510272 is about 11683.7610382958. The cubic root of 136510272 is about 514.8986786565.

The spelling of 136510272 in words is "one hundred thirty-six million, five hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1549 1632 1728 1836 2448 2592 2754 3098 3264 3672 4647 4896 5184 5508 6196 7344 9294 9792 11016 12392 13941 14688 18588 22032 24784 26333 27882 29376 37176 41823 44064 49568 52666 55764 74352 78999 83646 88128 99136 105332 111528 125469 148704 157998 167292 210664 223056 236997 250938 297408 315996 334584 421328 446112 473994 501876 631992 669168 710991 842656 892224 947988 1003752 1263984 1338336 1421982 1685312 1895976 2007504 2132973 2527968 2676672 2843964 3791952 4015008 4265946 5055936 5687928 7583904 8030016 8531892 11375856 15167808 17063784 22751712 34127568 45503424 68255136 136510272