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1688211980 = 225713271353
BaseRepresentation
bin110010010100000…
…0001001000001100
311100122200001110122
41210220001020030
511424140240410
6435304124112
756556364550
oct14450011014
94318601418
101688211980
11796a51714
123b1466638
1320b9acc00
141202d7860
159d325e55
hex64a0120c

1688211980 has 72 divisors (see below), whose sum is σ = 4387414752. Its totient is φ = 534283776.

The previous prime is 1688211971. The next prime is 1688212033. The reversal of 1688211980 is 891128861.

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, 12017 + ... + 59336.

It is an arithmetic number, because the mean of its divisors is an integer number (60936316).

Almost surely, 21688211980 is an apocalyptic number.

1688211980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688211980 is an abundant number, since it is smaller than the sum of its proper divisors (2699202772).

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

1688211980 is a wasteful number, since it uses less digits than its factorization.

1688211980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71395 (or 71380 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 44.

The square root of 1688211980 is about 41087.8568435980. The cubic root of 1688211980 is about 1190.7182021450.

The spelling of 1688211980 in words is "one billion, six hundred eighty-eight million, two hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 4732 5915 11830 23660 71353 142706 285412 356765 499471 713530 927589 998942 1427060 1855178 1997884 2497355 3710356 4637945 4994710 6493123 9275890 9989420 12058657 12986246 18551780 24117314 25972492 32465615 48234628 60293285 64931230 84410599 120586570 129862460 168821198 241173140 337642396 422052995 844105990 1688211980