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68282040 = 23352512267
BaseRepresentation
bin1000001000111…
…10011010111000
311202111002100110
410010132122320
5114440011130
610435304320
71456250001
oct404363270
9152432313
1068282040
11355a8342
121aa4b0a0
13111b9898
1490d61a8
155edbab0
hex411e6b8

68282040 has 64 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 18128000.

The previous prime is 68282017. The next prime is 68282059. The reversal of 68282040 is 4028286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68281989 and 68282007.

It is a congruent number.

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, 28987 + ... + 31253.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890).

Almost surely, 268282040 is an apocalyptic number.

68282040 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 68282040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

68282040 is an abundant number, since it is smaller than the sum of its proper divisors (137470920).

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

68282040 is a wasteful number, since it uses less digits than its factorization.

68282040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 68282040 is about 8263.2947424136. The cubic root of 68282040 is about 408.7290406259.

The spelling of 68282040 in words is "sixty-eight million, two hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 502 753 1004 1255 1506 2008 2267 2510 3012 3765 4534 5020 6024 6801 7530 9068 10040 11335 13602 15060 18136 22670 27204 30120 34005 45340 54408 68010 90680 136020 272040 569017 1138034 1707051 2276068 2845085 3414102 4552136 5690170 6828204 8535255 11380340 13656408 17070510 22760680 34141020 68282040