Search a number
-
+
1680591402 = 2377131419
BaseRepresentation
bin110010000101011…
…1100101000101010
311100010022220000000
41210022330220222
511420212411102
6434432523430
756434535250
oct14412745052
94303286000
101680591402
11792717216
123aa9b0576
1320a2423a9
1411d2b25d0
159c81d01c
hex642bca2a

1680591402 has 128 divisors (see below), whose sum is σ = 4364236800. Its totient is φ = 475366320.

The previous prime is 1680591391. The next prime is 1680591427. The reversal of 1680591402 is 2041950861.

1680591402 is a `hidden beast` number, since 1 + 68 + 0 + 591 + 4 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4010749 + ... + 4011167.

It is an arithmetic number, because the mean of its divisors is an integer number (34095600).

Almost surely, 21680591402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680591402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182118400).

1680591402 is an abundant number, since it is smaller than the sum of its proper divisors (2683645398).

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

1680591402 is an equidigital number, since it uses as much as digits as its factorization.

1680591402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1680591402 is about 40995.0167947276. The cubic root of 1680591402 is about 1188.9238681291.

The spelling of 1680591402 in words is "one billion, six hundred eighty million, five hundred ninety-one thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 131 162 189 243 262 378 393 419 486 567 729 786 838 917 1134 1179 1257 1458 1701 1834 2187 2358 2514 2751 2933 3402 3537 3771 4374 5103 5502 5866 7074 7542 8253 8799 10206 10611 11313 15309 16506 17598 21222 22626 24759 26397 30618 31833 33939 49518 52794 54889 63666 67878 74277 79191 95499 101817 109778 148554 158382 164667 190998 203634 222831 237573 286497 305451 329334 384223 445662 475146 494001 572994 610902 668493 712719 768446 916353 988002 1152669 1336986 1425438 1482003 1832706 2005479 2138157 2305338 2964006 3458007 4010958 4276314 4446009 6414471 6916014 8892018 10374021 12828942 13338027 20748042 26676054 31122063 40014081 62244126 80028162 93366189 120042243 186732378 240084486 280098567 560197134 840295701 1680591402