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68047560 = 2333579001
BaseRepresentation
bin1000000111001…
…01001011001000
311202001011201000
410003211023020
5114410010220
610430255000
71454252250
oct403451310
9152034630
1068047560
1135458159
121a957460
1311136c39
149074960
155e92390
hex40e52c8

68047560 has 128 divisors (see below), whose sum is σ = 259257600. Its totient is φ = 15552000.

The previous prime is 68047541. The next prime is 68047561. The reversal of 68047560 is 6574086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68047561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060 + ... + 12060.

It is an arithmetic number, because the mean of its divisors is an integer number (2025450).

Almost surely, 268047560 is an apocalyptic number.

68047560 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 68047560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129628800).

68047560 is an abundant number, since it is smaller than the sum of its proper divisors (191210040).

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

68047560 is a wasteful number, since it uses less digits than its factorization.

68047560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68047560 is about 8249.0944957613. The cubic root of 68047560 is about 408.2606466019.

The spelling of 68047560 in words is "sixty-eight million, forty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 9001 18002 27003 36004 45005 54006 63007 72008 81009 90010 108012 126014 135015 162018 180020 189021 216024 243027 252028 270030 315035 324036 360040 378042 405045 486054 504056 540060 567063 630070 648072 756084 810090 945105 972108 1080120 1134126 1215135 1260140 1512168 1620180 1701189 1890210 1944216 2268252 2430270 2520280 2835315 3240360 3402378 3780420 4536504 4860540 5670630 6804756 7560840 8505945 9721080 11341260 13609512 17011890 22682520 34023780 68047560