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68199264 = 2532733829
BaseRepresentation
bin1000001000010…
…10001101100000
311202022212210200
410010022031200
5114424334024
610433425200
71455453450
oct404121540
9152285720
1068199264
1135551131
121aa0b200
131118acc3
1490b3d60
155ec22c9
hex410a360

68199264 has 72 divisors (see below), whose sum is σ = 221654160. Its totient is φ = 19484928.

The previous prime is 68199259. The next prime is 68199283. The reversal of 68199264 is 46299186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×681992642 = 9302279220283392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 14899 + ... + 18930.

It is an arithmetic number, because the mean of its divisors is an integer number (3078530).

Almost surely, 268199264 is an apocalyptic number.

It is an amenable number.

68199264 is an abundant number, since it is smaller than the sum of its proper divisors (153454896).

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

68199264 is a wasteful number, since it uses less digits than its factorization.

68199264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33852 (or 33841 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 68199264 is about 8258.2845676327. The cubic root of 68199264 is about 408.5638110584.

The spelling of 68199264 in words is "sixty-eight million, one hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 33829 67658 101487 135316 202974 236803 270632 304461 405948 473606 541264 608922 710409 811896 947212 1082528 1217844 1420818 1623792 1894424 2131227 2435688 2841636 3247584 3788848 4262454 4871376 5683272 7577696 8524908 9742752 11366544 17049816 22733088 34099632 68199264