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68839260 = 22357251653
BaseRepresentation
bin1000001101001…
…10011101011100
311210112101201020
410012212131130
5120110324020
610455244140
71464060360
oct406463534
9153471636
1068839260
1135948a56
121b079650
13113533b9
1491dd2a0
15609bc40
hex41a675c

68839260 has 96 divisors (see below), whose sum is σ = 221501952. Its totient is φ = 15648000.

The previous prime is 68839231. The next prime is 68839279. The reversal of 68839260 is 6293886.

68839260 = T250 + T251 + ... + T753.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105094 + ... + 105746.

It is an arithmetic number, because the mean of its divisors is an integer number (2307312).

Almost surely, 268839260 is an apocalyptic number.

68839260 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 68839260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110750976).

68839260 is an abundant number, since it is smaller than the sum of its proper divisors (152662692).

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

68839260 is a wasteful number, since it uses less digits than its factorization.

68839260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 68839260 is about 8296.9428104574. The cubic root of 68839260 is about 409.8378498201.

The spelling of 68839260 in words is "sixty-eight million, eight hundred thirty-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 653 753 1004 1255 1306 1506 1757 1959 2510 2612 3012 3265 3514 3765 3918 4571 5020 5271 6530 7028 7530 7836 8785 9142 9795 10542 13060 13713 15060 17570 18284 19590 21084 22855 26355 27426 35140 39180 45710 52710 54852 68565 91420 105420 137130 163903 274260 327806 491709 655612 819515 983418 1147321 1639030 1966836 2294642 2458545 3278060 3441963 4589284 4917090 5736605 6883926 9834180 11473210 13767852 17209815 22946420 34419630 68839260