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68090880 = 21035111331
BaseRepresentation
bin1000000111011…
…11110000000000
311202010101010110
410003233300000
5114412402010
610431231320
71454522454
oct403576000
9152111113
1068090880
1135487760
121a978540
1311150880
149086664
155ea0120
hex40efc00

68090880 has 352 divisors, whose sum is σ = 264112128. Its totient is φ = 14745600.

The previous prime is 68090863. The next prime is 68090903. The reversal of 68090880 is 8809086.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2196465 + ... + 2196495.

Almost surely, 268090880 is an apocalyptic number.

68090880 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 68090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056064).

68090880 is an abundant number, since it is smaller than the sum of its proper divisors (196021248).

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

68090880 is a wasteful number, since it uses less digits than its factorization.

68090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 68090880 is about 8251.7198207404. The cubic root of 68090880 is about 408.3472629798.

The spelling of 68090880 in words is "sixty-eight million, ninety thousand, eight hundred eighty".