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1680056832 = 2933113517
BaseRepresentation
bin110010000100011…
…1010001000000000
311100002022201201010
41210020322020000
511420043304312
6434413240520
756430150606
oct14410721000
94302281633
101680056832
11792391623
123aa793140
1320a0b5c8c
1411d1b3876
159c76493c
hex6423a200

1680056832 has 80 divisors (see below), whose sum is σ = 4491444672. Its totient is φ = 558059520.

The previous prime is 1680056813. The next prime is 1680056839. The reversal of 1680056832 is 2386500861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1680056839) 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, 475938 + ... + 479454.

Almost surely, 21680056832 is an apocalyptic number.

1680056832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245722336).

1680056832 is an abundant number, since it is smaller than the sum of its proper divisors (2811387840).

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

1680056832 is an equidigital number, since it uses as much as digits as its factorization.

1680056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1680056832 is about 40988.4963373872. The cubic root of 1680056832 is about 1188.7977953607.

The spelling of 1680056832 in words is "one billion, six hundred eighty million, fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 311 384 512 622 768 933 1244 1536 1866 2488 3517 3732 4976 7034 7464 9952 10551 14068 14928 19904 21102 28136 29856 39808 42204 56272 59712 79616 84408 112544 119424 159232 168816 225088 238848 337632 450176 477696 675264 900352 1093787 1350528 1800704 2187574 2701056 3281361 4375148 5402112 6562722 8750296 13125444 17500592 26250888 35001184 52501776 70002368 105003552 140004736 210007104 280009472 420014208 560018944 840028416 1680056832