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68438460 = 22359911151
BaseRepresentation
bin1000001010001…
…00100110111100
311202210000220210
410011010212330
5120010012320
610442512420
71460501016
oct405044674
9152700823
1068438460
11356a4912
121ab05710
1311242b3c
1491371b6
15601d0e0
hex41449bc

68438460 has 48 divisors (see below), whose sum is σ = 191987712. Its totient is φ = 18216000.

The previous prime is 68438459. The next prime is 68438467. The reversal of 68438460 is 6483486.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68438467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58885 + ... + 60035.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 268438460 is an apocalyptic number.

68438460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68438460 is an abundant number, since it is smaller than the sum of its proper divisors (123549252).

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

68438460 is a wasteful number, since it uses less digits than its factorization.

68438460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 68438460 is about 8272.7540758807. The cubic root of 68438460 is about 409.0409071098.

The spelling of 68438460 in words is "sixty-eight million, four hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 991 1151 1982 2302 2973 3453 3964 4604 4955 5755 5946 6906 9910 11510 11892 13812 14865 17265 19820 23020 29730 34530 59460 69060 1140641 2281282 3421923 4562564 5703205 6843846 11406410 13687692 17109615 22812820 34219230 68438460