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68141376 = 2632281421
BaseRepresentation
bin1000000111111…
…00000101000000
311202012221101200
410003330011000
5114421011001
610432301200
71455122622
oct403740500
9152187350
1068141376
1135511696
121a9a1800
131116a854
14909ac12
155eb0086
hex40fc140

68141376 has 84 divisors (see below), whose sum is σ = 196475604. Its totient is φ = 22579200.

The previous prime is 68141363. The next prime is 68141407. The reversal of 68141376 is 67314186.

It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 51494976 = 4080^2 + 7176^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68141376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161646 + ... + 162066.

Almost surely, 268141376 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 68141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98237802).

68141376 is an abundant number, since it is smaller than the sum of its proper divisors (128334228).

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

68141376 is a wasteful number, since it uses less digits than its factorization.

68141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 68141376 is about 8254.7789794761. The cubic root of 68141376 is about 408.4481810875.

The spelling of 68141376 in words is "sixty-eight million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 421 562 576 842 843 1124 1263 1684 1686 2248 2526 2529 3368 3372 3789 4496 5052 5058 6736 6744 7578 8992 10104 10116 13472 13488 15156 17984 20208 20232 26944 26976 30312 40416 40464 53952 60624 80832 80928 118301 121248 161856 236602 242496 354903 473204 709806 946408 1064709 1419612 1892816 2129418 2839224 3785632 4258836 5678448 7571264 8517672 11356896 17035344 22713792 34070688 68141376