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68180992 = 210116053
BaseRepresentation
bin1000001000001…
…01110000000000
311202021221201221
410010011300000
5114423242432
610433204424
71455346255
oct404056000
9152257657
1068180992
1135539430
121aa00714
13111828a9
1490ab42c
155ebbb97
hex4105c00

68180992 has 44 divisors (see below), whose sum is σ = 148710456. Its totient is φ = 30986240.

The previous prime is 68180969. The next prime is 68181007. The reversal of 68180992 is 29908186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8238 + ... + 14290.

Almost surely, 268180992 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 68180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74355228).

68180992 is an abundant number, since it is smaller than the sum of its proper divisors (80529464).

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

68180992 is a wasteful number, since it uses less digits than its factorization.

68180992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 68180992 is about 8257.1782105027. The cubic root of 68180992 is about 408.5273202211.

The spelling of 68180992 in words is "sixty-eight million, one hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 6053 11264 12106 24212 48424 66583 96848 133166 193696 266332 387392 532664 774784 1065328 1549568 2130656 3099136 4261312 6198272 8522624 17045248 34090496 68180992