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1679885680 = 24511892241
BaseRepresentation
bin110010000100001…
…0000010101110000
311100002000000221011
41210020100111300
511420022320210
6434405440304
756425535614
oct14410202560
94302000834
101679885680
11792284a80
123aa710094
1320a0560c5
1411d16b344
159c72dd8a
hex64210570

1679885680 has 120 divisors (see below), whose sum is σ = 4327093584. Its totient is φ = 601497600.

The previous prime is 1679885663. The next prime is 1679885693. The reversal of 1679885680 is 865889761.

It is a congruent number.

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, 6970360 + ... + 6970600.

Almost surely, 21679885680 is an apocalyptic number.

1679885680 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 1679885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163546792).

1679885680 is an abundant number, since it is smaller than the sum of its proper divisors (2647207904).

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

1679885680 is a wasteful number, since it uses less digits than its factorization.

1679885680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The square root of 1679885680 is about 40986.4084789092. The cubic root of 1679885680 is about 1188.7574252919.

The spelling of 1679885680 in words is "one billion, six hundred seventy-nine million, eight hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 89 110 176 178 220 241 356 440 445 482 712 880 890 964 979 1205 1424 1780 1928 1958 2410 2651 3560 3856 3916 4820 4895 5302 7120 7832 7921 9640 9790 10604 13255 15664 15842 19280 19580 21208 21449 26510 31684 39160 39605 42416 42898 53020 63368 78320 79210 85796 87131 106040 107245 126736 158420 171592 174262 212080 214490 235939 316840 343184 348524 428980 435655 471878 633680 697048 857960 871310 943756 1179695 1394096 1715920 1742620 1887512 1908961 2359390 3485240 3775024 3817922 4718780 6970480 7635844 9437560 9544805 15271688 18875120 19089610 20998571 30543376 38179220 41997142 76358440 83994284 104992855 152716880 167988568 209985710 335977136 419971420 839942840 1679885680