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68410720 = 2557173593
BaseRepresentation
bin1000001001111…
…01110101100000
311202201121212101
410010331311200
5120003120340
610442140144
71460324110
oct404756540
9152647771
1068410720
1135685a94
121aab1654
1311233321
14912b040
156014c9a
hex413dd60

68410720 has 96 divisors (see below), whose sum is σ = 195628608. Its totient is φ = 22069248.

The previous prime is 68410691. The next prime is 68410723. The reversal of 68410720 is 2701486.

It is a super-2 number, since 2×684107202 = 9360053221836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68410723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17244 + ... + 20836.

It is an arithmetic number, because the mean of its divisors is an integer number (2037798).

Almost surely, 268410720 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 68410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97814304).

68410720 is an abundant number, since it is smaller than the sum of its proper divisors (127217888).

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

68410720 is a wasteful number, since it uses less digits than its factorization.

68410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 68410720 is about 8271.0773179798. The cubic root of 68410720 is about 408.9856344450.

The spelling of 68410720 in words is "sixty-eight million, four hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3593 3808 4760 7186 9520 14372 17965 19040 25151 28744 35930 50302 57488 61081 71860 100604 114976 122162 125755 143720 201208 244324 251510 287440 305405 402416 427567 488648 503020 574880 610810 804832 855134 977296 1006040 1221620 1710268 1954592 2012080 2137835 2443240 3420536 4024160 4275670 4886480 6841072 8551340 9772960 13682144 17102680 34205360 68410720