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68442080 = 2557531153
BaseRepresentation
bin1000001010001…
…01011111100000
311202210012212212
410011011133200
5120010121310
610442541252
71460514410
oct405053740
9152705785
1068442080
11356a7603
121ab07828
1311244695
149138640
15601e205
hex41457e0

68442080 has 96 divisors (see below), whose sum is σ = 188443584. Its totient is φ = 23003136.

The previous prime is 68442067. The next prime is 68442091. The reversal of 68442080 is 8024486.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 58784 + ... + 59936.

It is an arithmetic number, because the mean of its divisors is an integer number (1962954).

Almost surely, 268442080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94221792).

68442080 is an abundant number, since it is smaller than the sum of its proper divisors (120001504).

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

68442080 is a wasteful number, since it uses less digits than its factorization.

68442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 68442080 is about 8272.9728634875. The cubic root of 68442080 is about 409.0481189512.

The spelling of 68442080 in words is "sixty-eight million, four hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 424 530 560 742 848 1060 1120 1153 1484 1696 1855 2120 2306 2968 3710 4240 4612 5765 5936 7420 8071 8480 9224 11530 11872 14840 16142 18448 23060 29680 32284 36896 40355 46120 59360 61109 64568 80710 92240 122218 129136 161420 184480 244436 258272 305545 322840 427763 488872 611090 645680 855526 977744 1222180 1291360 1711052 1955488 2138815 2444360 3422104 4277630 4888720 6844208 8555260 9777440 13688416 17110520 34221040 68442080