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1680797184 = 29311313209
BaseRepresentation
bin110010000101110…
…1110111000000000
311100010201100021120
41210023232320000
511420241002214
6434441152240
756436353223
oct14413567000
94303640246
101680797184
11792847890
123aaa8b680
1320a2b4c61
1411d3275ba
159c85dea9
hex642eee00

1680797184 has 160 divisors (see below), whose sum is σ = 5043962880. Its totient is φ = 492748800.

The previous prime is 1680797177. The next prime is 1680797189. The reversal of 1680797184 is 4817970861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680797189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522172 + ... + 525380.

It is an arithmetic number, because the mean of its divisors is an integer number (31524768).

Almost surely, 21680797184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680797184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521981440).

1680797184 is an abundant number, since it is smaller than the sum of its proper divisors (3363165696).

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

1680797184 is a wasteful number, since it uses less digits than its factorization.

1680797184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The square root of 1680797184 is about 40997.5265595377. The cubic root of 1680797184 is about 1188.9723925445.

The spelling of 1680797184 in words is "one billion, six hundred eighty million, seven hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 992 1023 1056 1364 1408 1488 1536 1984 2046 2112 2728 2816 2976 3209 3968 4092 4224 5456 5632 5952 6418 7936 8184 8448 9627 10912 11904 12836 15872 16368 16896 19254 21824 23808 25672 32736 35299 38508 43648 47616 51344 65472 70598 77016 87296 99479 102688 105897 130944 141196 154032 174592 198958 205376 211794 261888 282392 298437 308064 397916 410752 423588 523776 564784 596874 616128 795832 821504 847176 1094269 1129568 1193748 1232256 1591664 1643008 1694352 2188538 2259136 2387496 2464512 3183328 3282807 3388704 4377076 4518272 4774992 4929024 6366656 6565614 6777408 8754152 9036544 9549984 12733312 13131228 13554816 17508304 18073088 19099968 25466624 26262456 27109632 35016608 38199936 50933248 52524912 54219264 70033216 76399872 105049824 140066432 152799744 210099648 280132864 420199296 560265728 840398592 1680797184