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1013795136 = 26331734511
BaseRepresentation
bin111100011011010…
…100100101000000
32121122122010111000
4330123110211000
54034012421021
6244333052000
734060054644
oct7433244500
92548563430
101013795136
11480296322
12243627000
1313205a2a3
14988dcc24
155e008b26
hex3c6d4940

1013795136 has 112 divisors (see below), whose sum is σ = 3155777280. Its totient is φ = 318044160.

The previous prime is 1013795129. The next prime is 1013795149. The reversal of 1013795136 is 6315973101.

1013795136 is a `hidden beast` number, since 1 + 0 + 137 + 9 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1013795136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12121 + ... + 46631.

Almost surely, 21013795136 is an apocalyptic number.

1013795136 is a gapful number since it is divisible by the number (16) 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 1013795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577888640).

1013795136 is an abundant number, since it is smaller than the sum of its proper divisors (2141982144).

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

1013795136 is a wasteful number, since it uses less digits than its factorization.

1013795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34549 (or 34533 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1013795136 is about 31840.1497483916. The cubic root of 1013795136 is about 1004.5773941600.

The spelling of 1013795136 in words is "one billion, thirteen million, seven hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 34511 69022 103533 138044 207066 276088 310599 414132 552176 586687 621198 828264 931797 1104352 1173374 1242396 1656528 1760061 1863594 2208704 2346748 2484792 3313056 3520122 3727188 4693496 4969584 5280183 6626112 7040244 7454376 9386992 9939168 10560366 14080488 14908752 15840549 18773984 19878336 21120732 28160976 29817504 31681098 37547968 42241464 56321952 59635008 63362196 84482928 112643904 126724392 168965856 253448784 337931712 506897568 1013795136