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1689714320 = 245717237717
BaseRepresentation
bin110010010110110…
…1111111010010000
311100202111101021212
41210231233322100
511430031324240
6435400235252
756605222550
oct14455577220
94322441255
101689714320
11797888418
123b1a6bb28
1320c0b7978
141205a9160
159d521165
hex64b6fe90

1689714320 has 160 divisors (see below), whose sum is σ = 4961253888. Its totient is φ = 521478144.

The previous prime is 1689714317. The next prime is 1689714329. The reversal of 1689714320 is 234179861.

It is not an unprimeable number, because it can be changed into a prime (1689714329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215102 + ... + 222818.

Almost surely, 21689714320 is an apocalyptic number.

1689714320 is a gapful number since it is divisible by the number (10) 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 1689714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480626944).

1689714320 is an abundant number, since it is smaller than the sum of its proper divisors (3271539568).

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

1689714320 is a wasteful number, since it uses less digits than its factorization.

1689714320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1689714320 is about 41106.1348219460. The cubic root of 1689714320 is about 1191.0713041706.

The spelling of 1689714320 in words is "one billion, six hundred eighty-nine million, seven hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 23 28 34 35 40 46 56 68 70 80 85 92 112 115 119 136 140 161 170 184 230 238 272 280 322 340 368 391 460 476 560 595 644 680 782 805 920 952 1190 1288 1360 1564 1610 1840 1904 1955 2380 2576 2737 3128 3220 3910 4760 5474 6256 6440 7717 7820 9520 10948 12880 13685 15434 15640 21896 27370 30868 31280 38585 43792 54019 54740 61736 77170 108038 109480 123472 131189 154340 177491 216076 218960 262378 270095 308680 354982 432152 524756 540190 617360 655945 709964 864304 887455 918323 1049512 1080380 1242437 1311890 1419928 1774910 1836646 2099024 2160760 2484874 2623780 2839856 3017347 3549820 3673292 4321520 4591615 4969748 5247560 6034694 6212185 7099640 7346584 9183230 9939496 10495120 12069388 12424370 14199280 14693168 15086735 18366460 19878992 21121429 24138776 24848740 30173470 36732920 42242858 48277552 49697480 60346940 73465840 84485716 99394960 105607145 120693880 168971432 211214290 241387760 337942864 422428580 844857160 1689714320