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68492960 = 2554153197
BaseRepresentation
bin1000001010100…
…01111010100000
311202212210200022
410011101322200
5120013233320
610444013012
71461115634
oct405217240
9152783608
1068492960
1135731858
121ab31168
13112618a3
14914cdc4
15602e325
hex4151ea0

68492960 has 96 divisors (see below), whose sum is σ = 169746192. Its totient is φ = 26091520.

The previous prime is 68492939. The next prime is 68492971. The reversal of 68492960 is 6929486.

It can be written as a sum of positive squares in 8 ways, for example, as 39891856 + 28601104 = 6316^2 + 5348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347582 + ... + 347778.

Almost surely, 268492960 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 68492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84873096).

68492960 is an abundant number, since it is smaller than the sum of its proper divisors (101253232).

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

68492960 is a wasteful number, since it uses less digits than its factorization.

68492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 68492960 is about 8276.0473657417. The cubic root of 68492960 is about 409.1494562820.

The spelling of 68492960 in words is "sixty-eight million, four hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 53 80 82 106 160 164 197 205 212 265 328 394 410 424 530 656 788 820 848 985 1060 1312 1576 1640 1696 1970 2120 2173 3152 3280 3940 4240 4346 6304 6560 7880 8077 8480 8692 10441 10865 15760 16154 17384 20882 21730 31520 32308 34768 40385 41764 43460 52205 64616 69536 80770 83528 86920 104410 129232 161540 167056 173840 208820 258464 323080 334112 347680 417640 428081 646160 835280 856162 1292320 1670560 1712324 2140405 3424648 4280810 6849296 8561620 13698592 17123240 34246480 68492960