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1690094084 = 22733179503
BaseRepresentation
bin110010010111100…
…1100101000000100
311100210012200020012
41210233030220010
511430131002314
6435412325352
756611364000
oct14457145004
94323180205
101690094084
11798017778
123b2013858
1320c1bb793
14120667700
159d59893e
hex64bcca04

1690094084 has 96 divisors (see below), whose sum is σ = 3612672000. Its totient is φ = 690711840.

The previous prime is 1690093963. The next prime is 1690094093. The reversal of 1690094084 is 4804900961.

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 31 ways as a sum of consecutive naturals, for example, 3359777 + ... + 3360279.

It is an arithmetic number, because the mean of its divisors is an integer number (37632000).

Almost surely, 21690094084 is an apocalyptic number.

1690094084 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 1690094084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806336000).

1690094084 is an abundant number, since it is smaller than the sum of its proper divisors (1922577916).

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

1690094084 is a wasteful number, since it uses less digits than its factorization.

1690094084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 1690094084 is about 41110.7538729223. The cubic root of 1690094084 is about 1191.1605287444.

The spelling of 1690094084 in words is "one billion, six hundred ninety million, ninety-four thousand, eighty-four".

Divisors: 1 2 4 7 14 28 31 49 62 79 98 124 158 196 217 316 343 434 503 553 686 868 1006 1106 1372 1519 2012 2212 2449 3038 3521 3871 4898 6076 7042 7742 9796 10633 14084 15484 15593 17143 21266 24647 27097 31186 34286 39737 42532 49294 54194 62372 68572 79474 98588 108388 109151 120001 158948 172529 218302 240002 278159 345058 436604 480004 556318 690116 764057 840007 1112636 1231847 1528114 1680014 1947113 2463694 3056228 3360028 3894226 4927388 5348399 7788452 8622929 10696798 13629791 17245858 21393596 27259582 34491716 54519164 60360503 120721006 241442012 422523521 845047042 1690094084