Search a number
-
+
68069904 = 2437172701
BaseRepresentation
bin1000000111010…
…10101000010000
311202002022100120
410003222220100
5114411214104
610430550240
71454404350
oct403525020
9152068316
1068069904
1135472a21
121a968380
1311144166
14907cb60
155e98cd9
hex40eaa10

68069904 has 120 divisors (see below), whose sum is σ = 213789888. Its totient is φ = 18278400.

The previous prime is 68069891. The next prime is 68069927. The reversal of 68069904 is 40996086.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 96754 + ... + 97454.

Almost surely, 268069904 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 68069904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106894944).

68069904 is an abundant number, since it is smaller than the sum of its proper divisors (145719984).

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

68069904 is a wasteful number, since it uses less digits than its factorization.

68069904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 68069904 is about 8250.4487150700. The cubic root of 68069904 is about 408.3053270069.

The spelling of 68069904 in words is "sixty-eight million, sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 289 336 357 408 476 578 701 714 816 867 952 1156 1402 1428 1734 1904 2023 2103 2312 2804 2856 3468 4046 4206 4624 4907 5608 5712 6069 6936 8092 8412 9814 11216 11917 12138 13872 14721 16184 16824 19628 23834 24276 29442 32368 33648 35751 39256 47668 48552 58884 71502 78512 83419 95336 97104 117768 143004 166838 190672 202589 235536 250257 286008 333676 405178 500514 572016 607767 667352 810356 1001028 1215534 1334704 1418123 1620712 2002056 2431068 2836246 3241424 4004112 4254369 4862136 5672492 8508738 9724272 11344984 17017476 22689968 34034952 68069904