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68839680 = 2835713197
BaseRepresentation
bin1000001101001…
…10100100000000
311210112102021210
410012212210000
5120110332210
610455250120
71464061530
oct406464400
9153472253
1068839680
11359492a8
121b079940
1311353650
1491dd4c0
15609be20
hex41a6900

68839680 has 288 divisors, whose sum is σ = 271966464. Its totient is φ = 14450688.

The previous prime is 68839669. The next prime is 68839709. The reversal of 68839680 is 8693886.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 788 × 780 × 112.

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, 349342 + ... + 349538.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 268839680 is an apocalyptic number.

68839680 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 68839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983232).

68839680 is an abundant number, since it is smaller than the sum of its proper divisors (203126784).

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

68839680 is a wasteful number, since it uses less digits than its factorization.

68839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

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

The square root of 68839680 is about 8296.9681209463. The cubic root of 68839680 is about 409.8386833151.

The spelling of 68839680 in words is "sixty-eight million, eight hundred thirty-nine thousand, six hundred eighty".