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1157833068 = 223771832339
BaseRepresentation
bin100010100000011…
…0010000101101100
32222200200000101020
41011000302011230
54332401124233
6310520214140
740456263420
oct10500620554
92880600336
101157833068
11544626137
1228390a350
13155b4c532
14adab4b80
156b9ab9b3
hex4503216c

1157833068 has 96 divisors (see below), whose sum is σ = 3170119680. Its totient is φ = 322082880.

The previous prime is 1157833067. The next prime is 1157833073. The reversal of 1157833068 is 8603387511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1157833067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 493843 + ... + 496181.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 21157833068 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 1157833068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

1157833068 is an abundant number, since it is smaller than the sum of its proper divisors (2012286612).

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

1157833068 is a wasteful number, since it uses less digits than its factorization.

1157833068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1157833068 is about 34026.9462044421. The cubic root of 1157833068 is about 1050.0629041679.

The spelling of 1157833068 in words is "one billion, one hundred fifty-seven million, eight hundred thirty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 83 84 142 166 213 249 284 332 426 497 498 581 852 994 996 1162 1491 1743 1988 2324 2339 2982 3486 4678 5893 5964 6972 7017 9356 11786 14034 16373 17679 23572 28068 32746 35358 41251 49119 65492 70716 82502 98238 123753 165004 166069 194137 196476 247506 332138 388274 495012 498207 582411 664276 776548 996414 1162483 1164822 1358959 1992828 2324966 2329644 2717918 3487449 4076877 4649932 5435836 6974898 8153754 13783727 13949796 16307508 27567454 41351181 55134908 82702362 96486089 165404724 192972178 289458267 385944356 578916534 1157833068