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1680236964 = 223276667607
BaseRepresentation
bin110010000100110…
…0110000110100100
311100002122212210200
41210021212012210
511420120040324
6434421150500
756431531020
oct14411460644
94302585720
101680236964
117924a499a
123aa85b430
1320a149c73
1411d21d380
159c79cec9
hex642661a4

1680236964 has 36 divisors (see below), whose sum is σ = 4854018624. Its totient is φ = 480067632.

The previous prime is 1680236953. The next prime is 1680236993. The reversal of 1680236964 is 4696320861.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3333552 + ... + 3334055.

Almost surely, 21680236964 is an apocalyptic number.

1680236964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1680236964 is an abundant number, since it is smaller than the sum of its proper divisors (3173781660).

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

1680236964 is a wasteful number, since it uses less digits than its factorization.

1680236964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667624 (or 6667619 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1680236964 is about 40990.6936267246. The cubic root of 1680236964 is about 1188.8402806044.

The spelling of 1680236964 in words is "one billion, six hundred eighty million, two hundred thirty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 6667607 13335214 20002821 26670428 40005642 46673249 60008463 80011284 93346498 120016926 140019747 186692996 240033852 280039494 420059241 560078988 840118482 1680236964