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68193984 = 2631632179
BaseRepresentation
bin1000001000010…
…00111011000000
311202022121120010
410010020323000
5114424201414
610433344520
71455432165
oct404107300
9152277503
1068193984
1135548171
121aa08140
1311188791
1490b206c
155ec0959
hex4108ec0

68193984 has 56 divisors (see below), whose sum is σ = 181620160. Its totient is φ = 22581504.

The previous prime is 68193977. The next prime is 68194013. The reversal of 68193984 is 48939186.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30207 + ... + 32385.

Almost surely, 268193984 is an apocalyptic number.

68193984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810080).

68193984 is an abundant number, since it is smaller than the sum of its proper divisors (113426176).

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

68193984 is a wasteful number, since it uses less digits than its factorization.

68193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2347 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 68193984 is about 8257.9648824635. The cubic root of 68193984 is about 408.5532670903.

The spelling of 68193984 in words is "sixty-eight million, one hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 192 326 489 652 978 1304 1956 2179 2608 3912 4358 5216 6537 7824 8716 10432 13074 15648 17432 26148 31296 34864 52296 69728 104592 139456 209184 355177 418368 710354 1065531 1420708 2131062 2841416 4262124 5682832 8524248 11365664 17048496 22731328 34096992 68193984