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68935680 = 2133251117
BaseRepresentation
bin1000001101111…
…10000000000000
311210201021222100
410012332000000
5120121420210
610501310400
71464641442
oct406760000
9153637870
1068935680
1135a04440
121b105400
1311388258
149226492
1560ba5c0
hex41be000

68935680 has 336 divisors, whose sum is σ = 276020784. Its totient is φ = 15728640.

The previous prime is 68935679. The next prime is 68935681. The reversal of 68935680 is 8653986.

68935680 is a `hidden beast` number, since 6 + 89 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68935679) and next prime (68935681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68935681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4055032 + ... + 4055048.

Almost surely, 268935680 is an apocalyptic number.

68935680 is a gapful number since it is divisible by the number (60) 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 68935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138010392).

68935680 is an abundant number, since it is smaller than the sum of its proper divisors (207085104).

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

68935680 is a wasteful number, since it uses less digits than its factorization.

68935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 68935680 is about 8302.7513512088. The cubic root of 68935680 is about 410.0291075904.

The spelling of 68935680 in words is "sixty-eight million, nine hundred thirty-five thousand, six hundred eighty".