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1890290064 = 2431329104459
BaseRepresentation
bin111000010101011…
…1000100110010000
311212201220200111010
41300222320212100
512332403240224
6511323250520
764562125515
oct16052704620
94781820433
101890290064
118900239a3
12449079a40
13241814040
1413d09b30c
15b0e40e29
hex70ab8990

1890290064 has 80 divisors (see below), whose sum is σ = 5440276800. Its totient is φ = 561566208.

The previous prime is 1890290023. The next prime is 1890290071. The reversal of 1890290064 is 4600920981.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34134 + ... + 70325.

It is an arithmetic number, because the mean of its divisors is an integer number (68003460).

Almost surely, 21890290064 is an apocalyptic number.

It is an amenable number.

1890290064 is an abundant number, since it is smaller than the sum of its proper divisors (3549986736).

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

1890290064 is a wasteful number, since it uses less digits than its factorization.

1890290064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104512 (or 104506 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1890290064 is about 43477.4661635197. The cubic root of 1890290064 is about 1236.4488373155.

The spelling of 1890290064 in words is "one billion, eight hundred ninety million, two hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 104459 208918 313377 417836 626754 835672 1253508 1357967 1671344 2507016 2715934 3029311 4073901 5014032 5431868 6058622 8147802 9087933 10863736 12117244 16295604 18175866 21727472 24234488 32591208 36351732 39381043 48468976 65182416 72703464 78762086 118143129 145406928 157524172 236286258 315048344 472572516 630096688 945145032 1890290064