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68027904 = 293371937
BaseRepresentation
bin1000000111000…
…00011000000000
311202000011202000
410003200120000
5114403343104
610430024000
71454141040
oct403403000
9152004660
1068027904
113544440a
121a948000
131112acc9
14906b720
155e8b639
hex40e0600

68027904 has 320 divisors, whose sum is σ = 248793600. Its totient is φ = 17915904.

The previous prime is 68027903. The next prime is 68027957. The reversal of 68027904 is 40972086.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68027903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838574 + ... + 1838610.

It is an arithmetic number, because the mean of its divisors is an integer number (777480).

Almost surely, 268027904 is an apocalyptic number.

68027904 is a gapful number since it is divisible by the number (64) 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 68027904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124396800).

68027904 is an abundant number, since it is smaller than the sum of its proper divisors (180765696).

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

68027904 is a wasteful number, since it uses less digits than its factorization.

68027904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68027904 is about 8247.9030062192. The cubic root of 68027904 is about 408.2213331959.

It can be divided in two parts, 6802 and 7904, that added together give a triangular number (14706 = T171).

The spelling of 68027904 in words is "sixty-eight million, twenty-seven thousand, nine hundred four".