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136053312 = 2631773571
BaseRepresentation
bin10000001110000…
…00001001000000
3100111000020001120
420013000021000
5234312201222
621300032240
73241301613
oct1007001100
9314006046
10136053312
116a88695a
1239692680
1322257b25
14140d817a
15be2715c
hex81c0240

136053312 has 112 divisors (see below), whose sum is σ = 387047232. Its totient is φ = 42024960.

The previous prime is 136053301. The next prime is 136053341. The reversal of 136053312 is 213350631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 237987 + ... + 238557.

Almost surely, 2136053312 is an apocalyptic number.

136053312 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 136053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193523616).

136053312 is an abundant number, since it is smaller than the sum of its proper divisors (250993920).

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

136053312 is a wasteful number, since it uses less digits than its factorization.

136053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 136053312 is about 11664.1892988754. The cubic root of 136053312 is about 514.3235055122.

The spelling of 136053312 in words is "one hundred thirty-six million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 73 96 102 136 146 192 204 219 272 292 408 438 544 571 584 816 876 1088 1142 1168 1241 1632 1713 1752 2284 2336 2482 3264 3426 3504 3723 4568 4672 4964 6852 7008 7446 9136 9707 9928 13704 14016 14892 18272 19414 19856 27408 29121 29784 36544 38828 39712 41683 54816 58242 59568 77656 79424 83366 109632 116484 119136 125049 155312 166732 232968 238272 250098 310624 333464 465936 500196 621248 666928 708611 931872 1000392 1333856 1417222 1863744 2000784 2125833 2667712 2834444 4001568 4251666 5668888 8003136 8503332 11337776 17006664 22675552 34013328 45351104 68026656 136053312