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68927580 = 223251672293
BaseRepresentation
bin1000001101111…
…00000001011100
311210200212212100
410012330001130
5120121140310
610501205100
71464606021
oct406740134
9153625770
1068927580
11359a9347
121b100790
1311384667
149223548
1560b7ec0
hex41bc05c

68927580 has 72 divisors (see below), whose sum is σ = 210424032. Its totient is φ = 18262656.

The previous prime is 68927561. The next prime is 68927587. The reversal of 68927580 is 8572986.

68927580 is a `hidden beast` number, since 68 + 9 + 2 + 7 + 580 = 666.

It is a super-2 number, since 2×689275802 = 9502022569312800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68927587) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28914 + ... + 31206.

It is an arithmetic number, because the mean of its divisors is an integer number (2922556).

Almost surely, 268927580 is an apocalyptic number.

68927580 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 68927580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105212016).

68927580 is an abundant number, since it is smaller than the sum of its proper divisors (141496452).

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

68927580 is a wasteful number, since it uses less digits than its factorization.

68927580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 68927580 is about 8302.2635467684. The cubic root of 68927580 is about 410.0130473738.

The spelling of 68927580 in words is "sixty-eight million, nine hundred twenty-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2293 2505 3006 3340 4586 5010 6012 6879 7515 9172 10020 11465 13758 15030 20637 22930 27516 30060 34395 41274 45860 68790 82548 103185 137580 206370 382931 412740 765862 1148793 1531724 1914655 2297586 3446379 3829310 4595172 5743965 6892758 7658620 11487930 13785516 17231895 22975860 34463790 68927580