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68392360 = 23517432339
BaseRepresentation
bin1000001001110…
…01010110101000
311202200200200101
410010321112220
5120002023420
610441515144
71460216431
oct404712650
9152620611
1068392360
1135673213
121aaa2ab4
1311227b6a
149124488
15600e60a
hex41395a8

68392360 has 64 divisors (see below), whose sum is σ = 166795200. Its totient is φ = 25138176.

The previous prime is 68392351. The next prime is 68392369. The reversal of 68392360 is 6329386.

It is a happy number.

68392360 is a nontrivial binomial coefficient, being equal to C(11696, 2).

It is an interprime number because it is at equal distance from previous prime (68392351) and next prime (68392369).

It is not an unprimeable number, because it can be changed into a prime (68392369) 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 15 ways as a sum of consecutive naturals, for example, 28071 + ... + 30409.

It is an arithmetic number, because the mean of its divisors is an integer number (2606175).

Almost surely, 268392360 is an apocalyptic number.

68392360 is the 11695-th triangular number and also the 5848-th hexagonal number.

68392360 is the 3899-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68392360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83397600).

68392360 is an abundant number, since it is smaller than the sum of its proper divisors (98402840).

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

68392360 is a wasteful number, since it uses less digits than its factorization.

68392360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 68392360 is about 8269.9673518098. The cubic root of 68392360 is about 408.9490434541.

The spelling of 68392360 in words is "sixty-eight million, three hundred ninety-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2339 2924 3655 4678 5848 7310 9356 11695 14620 18712 23390 29240 39763 46780 79526 93560 100577 159052 198815 201154 318104 397630 402308 502885 795260 804616 1005770 1590520 1709809 2011540 3419618 4023080 6839236 8549045 13678472 17098090 34196180 68392360