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68972580 = 22335127727
BaseRepresentation
bin1000001110001…
…11000000100100
311210210011121000
410013013000210
5120124110310
610502153300
71465154145
oct407070044
9153704530
1068972580
1135a2a136
121b122830
131139bca1
149235acc
1560c64c0
hex41c7024

68972580 has 48 divisors (see below), whose sum is σ = 214583040. Its totient is φ = 18392544.

The previous prime is 68972569. The next prime is 68972623. The reversal of 68972580 is 8527986.

68972580 is a `hidden beast` number, since 68 + 9 + 7 + 2 + 580 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63324 + ... + 64403.

It is an arithmetic number, because the mean of its divisors is an integer number (4470480).

Almost surely, 268972580 is an apocalyptic number.

68972580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68972580 is an abundant number, since it is smaller than the sum of its proper divisors (145610460).

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

68972580 is a wasteful number, since it uses less digits than its factorization.

68972580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127745 (or 127737 counting only the distinct ones).

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

The square root of 68972580 is about 8304.9732088671. The cubic root of 68972580 is about 410.1022548839.

The spelling of 68972580 in words is "sixty-eight million, nine hundred seventy-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 127727 255454 383181 510908 638635 766362 1149543 1277270 1532724 1915905 2299086 2554540 3448629 3831810 4598172 5747715 6897258 7663620 11495430 13794516 17243145 22990860 34486290 68972580