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1690086432 = 25385320639
BaseRepresentation
bin110010010111100…
…1010110000100000
311100210012021201210
41210233022300200
511430130231212
6435412230120
756611332456
oct14457126040
94323167653
101690086432
11798011a51
123b200b340
1320c1b8158
141206649d6
159d59653c
hex64bcac20

1690086432 has 48 divisors (see below), whose sum is σ = 4441893120. Its totient is φ = 562674432.

The previous prime is 1690086403. The next prime is 1690086473. The reversal of 1690086432 is 2346800961.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 71569 + ... + 92207.

It is an arithmetic number, because the mean of its divisors is an integer number (92539440).

Almost surely, 21690086432 is an apocalyptic number.

1690086432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1690086432 is an abundant number, since it is smaller than the sum of its proper divisors (2751806688).

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

1690086432 is a wasteful number, since it uses less digits than its factorization.

1690086432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21505 (or 21497 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1690086432 is about 41110.6608071434. The cubic root of 1690086432 is about 1191.1587310586.

The spelling of 1690086432 in words is "one billion, six hundred ninety million, eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 853 1706 2559 3412 5118 6824 10236 13648 20472 20639 27296 40944 41278 61917 81888 82556 123834 165112 247668 330224 495336 660448 990672 1981344 17605067 35210134 52815201 70420268 105630402 140840536 211260804 281681072 422521608 563362144 845043216 1690086432