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68716032 = 293721183
BaseRepresentation
bin1000001100010…
…00011000000000
311210022010200020
410012020120000
5120042403112
610452453440
71463035200
oct406103000
9153263606
1068716032
1135874410
121b01a280
131130c298
1491aa400
15607548c
hex4188600

68716032 has 240 divisors, whose sum is σ = 235109952. Its totient is φ = 17633280.

The previous prime is 68716013. The next prime is 68716033. The reversal of 68716032 is 23061786.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 68715984 and 68716002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68716033) 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, 827863 + ... + 827945.

Almost surely, 268716032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

68716032 is an abundant number, since it is smaller than the sum of its proper divisors (166393920).

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

68716032 is a wasteful number, since it uses less digits than its factorization.

68716032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 68716032 is about 8289.5133753436. The cubic root of 68716032 is about 409.5931558101.

The spelling of 68716032 in words is "sixty-eight million, seven hundred sixteen thousand, thirty-two".