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1157371146 = 23347593769
BaseRepresentation
bin100010011111100…
…0001010100001010
32222122210112202000
41010333001110022
54332241334041
6310502251430
740452330621
oct10477012412
92878715660
101157371146
11544340088
12283726b76
13155a1a1c9
14ad9d46b8
156b919bb6
hex44fc150a

1157371146 has 64 divisors (see below), whose sum is σ = 2634508800. Its totient is φ = 376455168.

The previous prime is 1157371133. The next prime is 1157371147. The reversal of 1157371146 is 6411737511.

It is a happy number.

1157371146 is a `hidden beast` number, since 1 + 1 + 573 + 71 + 14 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1157371146.

It is not an unprimeable number, because it can be changed into a prime (1157371147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1504650 + ... + 1505418.

It is an arithmetic number, because the mean of its divisors is an integer number (41164200).

Almost surely, 21157371146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157371146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317254400).

1157371146 is an abundant number, since it is smaller than the sum of its proper divisors (1477137654).

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

1157371146 is a wasteful number, since it uses less digits than its factorization.

1157371146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 1157371146 is about 34020.1579361413. The cubic root of 1157371146 is about 1049.9232433687.

The spelling of 1157371146 in words is "one billion, one hundred fifty-seven million, three hundred seventy-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 593 769 846 1186 1269 1538 1779 2307 2538 3558 4614 5337 6921 10674 13842 16011 20763 27871 32022 36143 41526 55742 72286 83613 108429 167226 216858 250839 325287 456017 501678 650574 752517 912034 975861 1368051 1505034 1951722 2736102 4104153 8208306 12312459 21432799 24624918 42865598 64298397 128596794 192895191 385790382 578685573 1157371146