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68413020 = 223513139631
BaseRepresentation
bin1000001001111…
…10011001011100
311202201202000120
410010332121130
5120003204040
610442154540
71460333604
oct404763134
9152652016
1068413020
1135687795
121aab2a50
13112343a0
14912bc04
1560157d0
hex413e65c

68413020 has 96 divisors (see below), whose sum is σ = 208104960. Its totient is φ = 16692480.

The previous prime is 68413019. The next prime is 68413027. The reversal of 68413020 is 2031486.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68413027) by changing a digit.

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, 108105 + ... + 108735.

It is an arithmetic number, because the mean of its divisors is an integer number (2167760).

Almost surely, 268413020 is an apocalyptic number.

68413020 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 68413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104052480).

68413020 is an abundant number, since it is smaller than the sum of its proper divisors (139691940).

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

68413020 is a wasteful number, since it uses less digits than its factorization.

68413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68413020 is about 8271.2163555308. The cubic root of 68413020 is about 408.9902178223.

The spelling of 68413020 in words is "sixty-eight million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 631 695 780 834 1262 1390 1668 1807 1893 2085 2524 2780 3155 3614 3786 4170 5421 6310 7228 7572 8203 8340 9035 9465 10842 12620 16406 18070 18930 21684 24609 27105 32812 36140 37860 41015 49218 54210 82030 87709 98436 108420 123045 164060 175418 246090 263127 350836 438545 492180 526254 877090 1052508 1140217 1315635 1754180 2280434 2631270 3420651 4560868 5262540 5701085 6841302 11402170 13682604 17103255 22804340 34206510 68413020