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1640380872 = 233133125471
BaseRepresentation
bin110000111000110…
…0011100111001000
311020022122222112010
41201301203213020
511324414141442
6430435015520
755436002344
oct14161434710
94208588463
101640380872
11771a52479
1239943a5a0
13201b03a90
14117c06624
1599028b9c
hex61c639c8

1640380872 has 96 divisors (see below), whose sum is σ = 4564304640. Its totient is φ = 488361600.

The previous prime is 1640380867. The next prime is 1640380877. The reversal of 1640380872 is 2780830461.

It is an interprime number because it is at equal distance from previous prime (1640380867) and next prime (1640380877).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1640380872.

It is not an unprimeable number, because it can be changed into a prime (1640380877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297097 + ... + 302567.

It is an arithmetic number, because the mean of its divisors is an integer number (47544840).

Almost surely, 21640380872 is an apocalyptic number.

1640380872 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 1640380872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282152320).

1640380872 is an abundant number, since it is smaller than the sum of its proper divisors (2923923768).

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

1640380872 is a wasteful number, since it uses less digits than its factorization.

1640380872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1640380872 is about 40501.6156714766. The cubic root of 1640380872 is about 1179.3649920530.

The spelling of 1640380872 in words is "one billion, six hundred forty million, three hundred eighty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 961 1209 1612 1922 2418 2883 3224 3844 4836 5471 5766 7688 9672 10942 11532 12493 16413 21884 23064 24986 32826 37479 43768 49972 65652 71123 74958 99944 131304 142246 149916 169601 213369 284492 299832 339202 426738 508803 568984 678404 853476 1017606 1356808 1706952 2035212 2204813 4070424 4409626 5257631 6614439 8819252 10515262 13228878 15772893 17638504 21030524 26457756 31545786 42061048 52915512 63091572 68349203 126183144 136698406 205047609 273396812 410095218 546793624 820190436 1640380872