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1690085300 = 225216900853
BaseRepresentation
bin110010010111100…
…1010011110110100
311100210012020011212
41210233022132310
511430130212200
6435412220552
756611326251
oct14457123664
94323166155
101690085300
11798011112
123b200a758
1320c1b7797
14120664428
159d596035
hex64bca7b4

1690085300 has 18 divisors (see below), whose sum is σ = 3667485318. Its totient is φ = 676034080.

The previous prime is 1690085273. The next prime is 1690085303. The reversal of 1690085300 is 35800961.

It can be written as a sum of positive squares in 3 ways, for example, as 224880016 + 1465205284 = 14996^2 + 38278^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690085303) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8450327 + ... + 8450526.

Almost surely, 21690085300 is an apocalyptic number.

1690085300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1690085300 is an abundant number, since it is smaller than the sum of its proper divisors (1977400018).

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

1690085300 is a wasteful number, since it uses less digits than its factorization.

1690085300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900867 (or 16900860 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1690085300 is about 41110.6470394228. The cubic root of 1690085300 is about 1191.1584651172.

The spelling of 1690085300 in words is "one billion, six hundred ninety million, eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 16900853 33801706 67603412 84504265 169008530 338017060 422521325 845042650 1690085300