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1680879879 = 3272171391613
BaseRepresentation
bin110010000110000…
…0011000100000111
311100010212112201100
41210030003010013
511420301124004
6434443031143
756440146300
oct14414030407
94303775640
101680879879
117928a3a28
123aab0b4b3
1320a3137a3
1411d3497a7
159c878739
hex64303107

1680879879 has 72 divisors (see below), whose sum is σ = 3013854480. Its totient is φ = 896942592.

The previous prime is 1680879869. The next prime is 1680879917. The reversal of 1680879879 is 9789780861.

It is not a de Polignac number, because 1680879879 - 27 = 1680879751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680879869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1041277 + ... + 1042889.

It is an arithmetic number, because the mean of its divisors is an integer number (41859090).

Almost surely, 21680879879 is an apocalyptic number.

1680879879 is a deficient number, since it is larger than the sum of its proper divisors (1332974601).

1680879879 is a wasteful number, since it uses less digits than its factorization.

1680879879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The square root of 1680879879 is about 40998.5350835856. The cubic root of 1680879879 is about 1188.9918913198.

The spelling of 1680879879 in words is "one billion, six hundred eighty million, eight hundred seventy-nine thousand, eight hundred seventy-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 139 147 153 357 417 441 833 973 1071 1251 1613 2363 2499 2919 4839 6811 7089 7497 8757 11291 14517 16541 20433 21267 27421 33873 49623 61299 79037 82263 101619 115787 148869 191947 224207 237111 246789 347361 575841 672621 711333 1042083 1343629 1569449 1727523 2017863 3811519 4030887 4708347 10986143 11434557 12092661 14125041 26680633 32958429 34303671 80041899 98875287 186764431 240125697 560293293 1680879879