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1640422764 = 2232472274271
BaseRepresentation
bin110000111000110…
…1101110101101100
311020022202002222200
41201301231311230
511324422012024
6430435541500
755436235441
oct14161556554
94208662880
101640422764
11771a809a2
1239945a890
13201b19b76
14117c179c8
15990362c9
hex61c6dd6c

1640422764 has 72 divisors (see below), whose sum is σ = 4254501888. Its totient is φ = 532691040.

The previous prime is 1640422759. The next prime is 1640422783. The reversal of 1640422764 is 4672240461.

1640422764 is a `hidden beast` number, since 1 + 640 + 4 + 2 + 2 + 7 + 6 + 4 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381949 + ... + 386219.

It is an arithmetic number, because the mean of its divisors is an integer number (59090304).

Almost surely, 21640422764 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 1640422764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127250944).

1640422764 is an abundant number, since it is smaller than the sum of its proper divisors (2614079124).

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

1640422764 is a wasteful number, since it uses less digits than its factorization.

1640422764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1640422764 is about 40502.1328327287. The cubic root of 1640422764 is about 1179.3750314974.

The spelling of 1640422764 in words is "one billion, six hundred forty million, four hundred twenty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 227 282 423 454 564 681 846 908 1362 1692 2043 2724 4086 4271 8172 8542 10669 12813 17084 21338 25626 32007 38439 42676 51252 64014 76878 96021 128028 153756 192042 200737 384084 401474 602211 802948 969517 1204422 1806633 1939034 2408844 2908551 3613266 3878068 5817102 7226532 8725653 11634204 17451306 34902612 45567299 91134598 136701897 182269196 273403794 410105691 546807588 820211382 1640422764