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68983680 = 2735193161
BaseRepresentation
bin1000001110010…
…01101110000000
311210210201211010
410013021232000
5120124434210
610502320520
71465231413
oct407115600
9153721733
1068983680
1135a37507
121b129140
13113a405c
149239b7a
1560c9920
hex41c9b80

68983680 has 256 divisors, whose sum is σ = 242841600. Its totient is φ = 16588800.

The previous prime is 68983679. The next prime is 68983697. The reversal of 68983680 is 8638986.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1130850 + ... + 1130910.

It is an arithmetic number, because the mean of its divisors is an integer number (948600).

Almost surely, 268983680 is an apocalyptic number.

68983680 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 68983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

68983680 is an abundant number, since it is smaller than the sum of its proper divisors (173857920).

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

68983680 is a wasteful number, since it uses less digits than its factorization.

68983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 68983680 is about 8305.6414562633. The cubic root of 68983680 is about 410.1242534369.

The spelling of 68983680 in words is "sixty-eight million, nine hundred eighty-three thousand, six hundred eighty".