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68683680 = 25335131223
BaseRepresentation
bin1000001100000…
…00011110100000
311210020111022000
410012000132200
5120040334210
610452044000
71462541652
oct406003640
9153214260
1068683680
113585207a
121b003600
13112ca640
14919c6d2
15606aac0
hex41807a0

68683680 has 192 divisors, whose sum is σ = 259096320. Its totient is φ = 16892928.

The previous prime is 68683661. The next prime is 68683721. The reversal of 68683680 is 8638686.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 55549 + ... + 56771.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 268683680 is an apocalyptic number.

68683680 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 68683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

68683680 is an abundant number, since it is smaller than the sum of its proper divisors (190412640).

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

68683680 is a wasteful number, since it uses less digits than its factorization.

68683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 68683680 is about 8287.5617644757. The cubic root of 68683680 is about 409.5288659226.

The spelling of 68683680 in words is "sixty-eight million, six hundred eighty-three thousand, six hundred eighty".