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1690834656 = 25372516123
BaseRepresentation
bin110010011001000…
…0001011011100000
311100211121022002210
41210302001123200
511430323202111
6435440242120
756620600050
oct14462013340
94324538083
101690834656
11798483115
123b2310340
1320c3ba8a4
141207bb560
159d6930a6
hex64c816e0

1690834656 has 48 divisors (see below), whose sum is σ = 5072505984. Its totient is φ = 483095424.

The previous prime is 1690834619. The next prime is 1690834657. The reversal of 1690834656 is 6564380961.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690834657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257390 + ... + 1258733.

It is an arithmetic number, because the mean of its divisors is an integer number (105677208).

Almost surely, 21690834656 is an apocalyptic number.

1690834656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1690834656 is an abundant number, since it is smaller than the sum of its proper divisors (3381671328).

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

1690834656 is a wasteful number, since it uses less digits than its factorization.

1690834656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516143 (or 2516135 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 1690834656 is about 41119.7599214781. The cubic root of 1690834656 is about 1191.3344857898.

The spelling of 1690834656 in words is "one billion, six hundred ninety million, eight hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2516123 5032246 7548369 10064492 15096738 17612861 20128984 30193476 35225722 40257968 52838583 60386952 70451444 80515936 105677166 120773904 140902888 211354332 241547808 281805776 422708664 563611552 845417328 1690834656