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68108040 = 23355721113
BaseRepresentation
bin1000000111100…
…11111100001000
311202011020200000
410003303330020
5114413424130
610431443000
71454623500
oct403637410
9152136600
1068108040
1135499640
121a986460
1311158620
14908ca00
155ea5260
hex40f3f08

68108040 has 576 divisors, whose sum is σ = 313709760. Its totient is φ = 13063680.

The previous prime is 68108017. The next prime is 68108059. The reversal of 68108040 is 4080186.

It is a super-2 number, since 2×681080402 = 9277410225283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 68107995 and 68108013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5239074 + ... + 5239086.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 268108040 is an apocalyptic number.

68108040 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 68108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

68108040 is an abundant number, since it is smaller than the sum of its proper divisors (245601720).

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

68108040 is a wasteful number, since it uses less digits than its factorization.

68108040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68108040 is about 8252.7595384817. The cubic root of 68108040 is about 408.3815634641.

The spelling of 68108040 in words is "sixty-eight million, one hundred eight thousand, forty".