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68722560 = 273354197
BaseRepresentation
bin1000001100010…
…01111110000000
311210022110122000
410012021332000
5120043110220
610452544000
71463063214
oct406117600
9153273560
1068722560
1135879305
121b022000
131131224a
1491ac944
156077390
hex4189f80

68722560 has 256 divisors, whose sum is σ = 251899200. Its totient is φ = 17694720.

The previous prime is 68722553. The next prime is 68722607. The reversal of 68722560 is 6522786.

68722560 = T105 + T106 + ... + T744.

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 31 ways as a sum of consecutive naturals, for example, 708432 + ... + 708528.

Almost surely, 268722560 is an apocalyptic number.

68722560 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 68722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125949600).

68722560 is an abundant number, since it is smaller than the sum of its proper divisors (183176640).

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

68722560 is a wasteful number, since it uses less digits than its factorization.

68722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68722560 is about 8289.9071164881. The cubic root of 68722560 is about 409.6061258036.

The spelling of 68722560 in words is "sixty-eight million, seven hundred twenty-two thousand, five hundred sixty".