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1134997164 = 223378291811
BaseRepresentation
bin100001110100110…
…1010111010101100
32221002200211102000
41003221222322230
54311024402124
6304342532300
740061213430
oct10351527254
92832624360
101134997164
11532749194
12278137090
131511b5372
14aaa4c9c0
156999a6c9
hex43a6aeac

1134997164 has 96 divisors (see below), whose sum is σ = 3368870400. Its totient is φ = 323714880.

The previous prime is 1134997159. The next prime is 1134997181. The reversal of 1134997164 is 4617994311.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625819 + ... + 627629.

It is an arithmetic number, because the mean of its divisors is an integer number (35092400).

Almost surely, 21134997164 is an apocalyptic number.

1134997164 is a gapful number since it is divisible by the number (14) 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 1134997164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684435200).

1134997164 is an abundant number, since it is smaller than the sum of its proper divisors (2233873236).

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

1134997164 is a wasteful number, since it uses less digits than its factorization.

1134997164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2652 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1134997164 is about 33689.7189658804. The cubic root of 1134997164 is about 1043.1135625274.

The spelling of 1134997164 in words is "one billion, one hundred thirty-four million, nine hundred ninety-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 829 1658 1811 2487 3316 3622 4974 5433 5803 7244 7461 9948 10866 11606 12677 14922 16299 17409 21732 22383 23212 25354 29844 32598 34818 38031 44766 48897 50708 52227 65196 69636 76062 89532 97794 104454 114093 152124 156681 195588 208908 228186 313362 342279 456372 626724 684558 1369116 1501319 3002638 4503957 6005276 9007914 10509233 13511871 18015828 21018466 27023742 31527699 40535613 42036932 54047484 63055398 81071226 94583097 126110796 162142452 189166194 283749291 378332388 567498582 1134997164