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1153796112 = 2432710311113
BaseRepresentation
bin100010011000101…
…1000100000010000
32222102001220201100
41010301120200100
54330332433422
6310253504400
740410051030
oct10461304020
92872056640
101153796112
11542319107
122824a2100
13155067bc1
14ad3438c0
156b4607ac
hex44c58810

1153796112 has 120 divisors (see below), whose sum is σ = 3726479744. Its totient is φ = 326426112.

The previous prime is 1153796107. The next prime is 1153796131. The reversal of 1153796112 is 2116973511.

It is a happy number.

1153796112 is a `hidden beast` number, since 1 + 1 + 5 + 37 + 9 + 611 + 2 = 666.

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

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, 98268 + ... + 109380.

Almost surely, 21153796112 is an apocalyptic number.

1153796112 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 1153796112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863239872).

1153796112 is an abundant number, since it is smaller than the sum of its proper divisors (2572683632).

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

1153796112 is a wasteful number, since it uses less digits than its factorization.

1153796112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237 (or 11228 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 1153796112 is about 33967.5744203203. The cubic root of 1153796112 is about 1048.8410832439.

The spelling of 1153796112 in words is "one billion, one hundred fifty-three million, seven hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 824 927 1008 1236 1442 1648 1854 2163 2472 2884 3708 4326 4944 5768 6489 7416 8652 11113 11536 12978 14832 17304 22226 25956 33339 34608 44452 51912 66678 77791 88904 100017 103824 133356 155582 177808 200034 233373 266712 311164 400068 466746 533424 622328 700119 800136 933492 1144639 1244656 1400238 1600272 1866984 2289278 2800476 3433917 3733968 4578556 5600952 6867834 8012473 9157112 10301751 11201904 13735668 16024946 18314224 20603502 24037419 27471336 32049892 41207004 48074838 54942672 64099784 72112257 82414008 96149676 128199568 144224514 164828016 192299352 288449028 384598704 576898056 1153796112