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68942016 = 2635111331
BaseRepresentation
bin1000001101111…
…11100011000000
311210201121200000
410012333203000
5120122121031
610501400000
71464666063
oct406774300
9153647600
1068942016
1135a09180
121b109000
131138b0c0
1492288da
1560bc3e6
hex41bf8c0

68942016 has 336 divisors, whose sum is σ = 248521728. Its totient is φ = 18662400.

The previous prime is 68942009. The next prime is 68942039. The reversal of 68942016 is 61024986.

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 47 ways as a sum of consecutive naturals, for example, 2223921 + ... + 2223951.

It is an arithmetic number, because the mean of its divisors is an integer number (739648).

Almost surely, 268942016 is an apocalyptic number.

68942016 is a gapful number since it is divisible by the number (66) 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 68942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260864).

68942016 is an abundant number, since it is smaller than the sum of its proper divisors (179579712).

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

68942016 is a wasteful number, since it uses less digits than its factorization.

68942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68942016 is about 8303.1329027061. The cubic root of 68942016 is about 410.0416693719.

The spelling of 68942016 in words is "sixty-eight million, nine hundred forty-two thousand, sixteen".