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68814720 = 2732513919
BaseRepresentation
bin1000001101000…
…00011110000000
311210111011001100
410012200132000
5120104032340
610454534400
71463626002
oct406403600
9153434040
1068814720
1135931577
121b067400
1311345190
1491d4372
156094830
hex41a0780

68814720 has 192 divisors, whose sum is σ = 256183200. Its totient is φ = 16920576.

The previous prime is 68814701. The next prime is 68814731. The reversal of 68814720 is 2741886.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74421 + ... + 75339.

Almost surely, 268814720 is an apocalyptic number.

68814720 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 68814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128091600).

68814720 is an abundant number, since it is smaller than the sum of its proper divisors (187368480).

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

68814720 is a wasteful number, since it uses less digits than its factorization.

68814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 68814720 is about 8295.4638206673. The cubic root of 68814720 is about 409.7891440081.

The spelling of 68814720 in words is "sixty-eight million, eight hundred fourteen thousand, seven hundred twenty".