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1680667464 = 233721784067
BaseRepresentation
bin110010000101100…
…1111001101001000
311100010110202100010
41210023033031020
511420222324324
6434434311520
756435303100
oct14413171510
94303422303
101680667464
11792769383
123aaa285a0
1320a26abb8
1411d2d2200
159c835829
hex642cf348

1680667464 has 96 divisors (see below), whose sum is σ = 5175226080. Its totient is φ = 451938816.

The previous prime is 1680667453. The next prime is 1680667519. The reversal of 1680667464 is 4647660861.

It is a super-4 number, since 4×16806674644 (a number of 38 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22042 + ... + 62025.

It is an arithmetic number, because the mean of its divisors is an integer number (53908605).

Almost surely, 21680667464 is an apocalyptic number.

1680667464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1680667464 is an abundant number, since it is smaller than the sum of its proper divisors (3494558616).

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

1680667464 is a wasteful number, since it uses less digits than its factorization.

1680667464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84107 (or 84096 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 1680667464 is about 40995.9444823509. The cubic root of 1680667464 is about 1188.9418043871.

The spelling of 1680667464 in words is "one billion, six hundred eighty million, six hundred sixty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 19992 84067 168134 252201 336268 504402 588469 672536 1008804 1176938 1429139 1765407 2017608 2353876 2858278 3530814 4119283 4287417 4707752 5716556 7061628 8238566 8574834 10003973 11433112 12357849 14123256 16477132 17149668 20007946 24715698 30011919 32954264 34299336 40015892 49431396 60023838 70027811 80031784 98862792 120047676 140055622 210083433 240095352 280111244 420166866 560222488 840333732 1680667464