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68099040 = 25325192131
BaseRepresentation
bin1000000111100…
…01101111100000
311202010210022200
410003301233200
5114413132130
610431333200
71454555322
oct403615740
9152123280
1068099040
11354928a9
121a981200
13111544b9
149089612
155ea2760
hex40f1be0

68099040 has 216 divisors, whose sum is σ = 247134888. Its totient is φ = 17072640.

The previous prime is 68098993. The next prime is 68099063. The reversal of 68099040 is 4099086.

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

It is a junction number, because it is equal to n+sod(n) for n = 68098986 and 68099004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519775 + ... + 519905.

It is an arithmetic number, because the mean of its divisors is an integer number (1144143).

Almost surely, 268099040 is an apocalyptic number.

68099040 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 68099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123567444).

68099040 is an abundant number, since it is smaller than the sum of its proper divisors (179035848).

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

68099040 is a wasteful number, since it uses less digits than its factorization.

68099040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68099040 is about 8252.2142483094. The cubic root of 68099040 is about 408.3635744182.

The spelling of 68099040 in words is "sixty-eight million, ninety-nine thousand, forty".