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1680615716 = 22131713713877
BaseRepresentation
bin110010000101100…
…0010100100100100
311100010101010100112
41210023002210210
511420214200331
6434433232152
756434666163
oct14413024444
94303333315
101680615716
1179273350a
123aaa02658
1320a250490
1411d2bb3da
159c82532b
hex642c2924

1680615716 has 48 divisors (see below), whose sum is σ = 3378349296. Its totient is φ = 724660224.

The previous prime is 1680615701. The next prime is 1680615749. The reversal of 1680615716 is 6175160861.

It can be written as a sum of positive squares in 8 ways, for example, as 109286116 + 1571329600 = 10454^2 + 39640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114170 + ... + 128046.

It is an arithmetic number, because the mean of its divisors is an integer number (70382277).

Almost surely, 21680615716 is an apocalyptic number.

It is an amenable number.

1680615716 is an abundant number, since it is smaller than the sum of its proper divisors (1697733580).

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

1680615716 is a wasteful number, since it uses less digits than its factorization.

1680615716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 1680615716 is about 40995.3133418931. The cubic root of 1680615716 is about 1188.9296016971.

The spelling of 1680615716 in words is "one billion, six hundred eighty million, six hundred fifteen thousand, seven hundred sixteen".

Divisors: 1 2 4 13 17 26 34 52 68 137 221 274 442 548 884 1781 2329 3562 4658 7124 9316 13877 27754 30277 55508 60554 121108 180401 235909 360802 471818 721604 943636 1901149 3066817 3802298 6133634 7604596 12267268 24714937 32319533 49429874 64639066 98859748 129278132 420153929 840307858 1680615716