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68582040 = 2335737829
BaseRepresentation
bin1000001011001…
…11101010011000
311210001022212120
410011213222120
5120024111130
610445541240
71461636432
oct405475230
9153038776
1068582040
113579277a
121ab74820
13112932b7
149173652
15604a910
hex4167a98

68582040 has 64 divisors (see below), whose sum is σ = 208591200. Its totient is φ = 18035712.

The previous prime is 68582027. The next prime is 68582051. The reversal of 68582040 is 4028586.

It is a junction number, because it is equal to n+sod(n) for n = 68581992 and 68582010.

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, 4846 + ... + 12674.

Almost surely, 268582040 is an apocalyptic number.

68582040 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 68582040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104295600).

68582040 is an abundant number, since it is smaller than the sum of its proper divisors (140009160).

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

68582040 is a wasteful number, since it uses less digits than its factorization.

68582040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 68582040 is about 8281.4274131939. The cubic root of 68582040 is about 409.3267554980.

The spelling of 68582040 in words is "sixty-eight million, five hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 7829 8760 15658 23487 31316 39145 46974 62632 78290 93948 117435 156580 187896 234870 313160 469740 571517 939480 1143034 1714551 2286068 2857585 3429102 4572136 5715170 6858204 8572755 11430340 13716408 17145510 22860680 34291020 68582040