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1689706980 = 223451380233
BaseRepresentation
bin110010010110110…
…1110000111100100
311100202111000020000
41210231232013210
511430031110410
6435400141300
756605162263
oct14455560744
94322430200
101689706980
11797882955
123b1a67830
1320c0b4520
141205a65da
159d51ddc0
hex64b6e1e4

1689706980 has 120 divisors (see below), whose sum is σ = 5708488632. Its totient is φ = 415922688.

The previous prime is 1689706943. The next prime is 1689706999. The reversal of 1689706980 is 896079861.

It can be written as a sum of positive squares in 4 ways, for example, as 355850496 + 1333856484 = 18864^2 + 36522^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19057 + ... + 61176.

Almost surely, 21689706980 is an apocalyptic number.

1689706980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1689706980 is an abundant number, since it is smaller than the sum of its proper divisors (4018781652).

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

1689706980 is a wasteful number, since it uses less digits than its factorization.

1689706980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80267 (or 80256 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 1689706980 is about 41106.0455407717. The cubic root of 1689706980 is about 1191.0695795248.

The spelling of 1689706980 in words is "one billion, six hundred eighty-nine million, seven hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 80233 160466 240699 320932 401165 481398 722097 802330 962796 1043029 1203495 1444194 1604660 2086058 2166291 2406990 2888388 3129087 3610485 4172116 4332582 4813980 5215145 6258174 6498873 7220970 8665164 9387261 10430290 10831455 12516348 12997746 14441940 15645435 18774522 20860580 21662910 25995492 28161783 31290870 32494365 37549044 43325820 46936305 56323566 62581740 64988730 84485349 93872610 112647132 129977460 140808915 168970698 187745220 281617830 337941396 422426745 563235660 844853490 1689706980