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1680218432 = 261071092251
BaseRepresentation
bin110010000100110…
…0001100101000000
311100002121221101022
41210021201211000
511420113442212
6434420525012
756431423004
oct14411414500
94302557338
101680218432
11792491a82
123aa850768
1320a1416b9
1411d216704
159c797772
hex64261940

1680218432 has 56 divisors (see below), whose sum is σ = 3397727520. Its totient is φ = 824256000.

The previous prime is 1680218413. The next prime is 1680218473. The reversal of 1680218432 is 2348120861.

It is a junction number, because it is equal to n+sod(n) for n = 1680218392 and 1680218401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745307 + ... + 747557.

Almost surely, 21680218432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698863760).

1680218432 is an abundant number, since it is smaller than the sum of its proper divisors (1717509088).

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

1680218432 is a wasteful number, since it uses less digits than its factorization.

1680218432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1680218432 is about 40990.4675747911. The cubic root of 1680218432 is about 1188.8359098580.

The spelling of 1680218432 in words is "one billion, six hundred eighty million, two hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 107 109 214 218 428 436 856 872 1712 1744 2251 3424 3488 4502 6848 6976 9004 11663 18008 23326 36016 46652 72032 93304 144064 186608 240857 245359 373216 481714 490718 746432 963428 981436 1926856 1962872 3853712 3925744 7707424 7851488 15414848 15702976 26253413 52506826 105013652 210027304 420054608 840109216 1680218432