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68600040 = 23351135059
BaseRepresentation
bin1000001011011…
…00000011101000
311210002020120020
410011230003220
5120030200130
610450200440
71462043055
oct405540350
9153066506
1068600040
11357a5253
121ab83120
131129b552
14917a02c
156050e10
hex416c0e8

68600040 has 64 divisors (see below), whose sum is σ = 207662400. Its totient is φ = 18127872.

The previous prime is 68600039. The next prime is 68600087. The reversal of 68600040 is 4000686.

It is a super-4 number, since 4×686000404 (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11031 + ... + 16089.

It is an arithmetic number, because the mean of its divisors is an integer number (3244725).

Almost surely, 268600040 is an apocalyptic number.

68600040 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 68600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103831200).

68600040 is an abundant number, since it is smaller than the sum of its proper divisors (139062360).

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

68600040 is a wasteful number, since it uses less digits than its factorization.

68600040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68600040 is about 8282.5141110656. The cubic root of 68600040 is about 409.3625629149.

The spelling of 68600040 in words is "sixty-eight million, six hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 5059 6780 10118 13560 15177 20236 25295 30354 40472 50590 60708 75885 101180 121416 151770 202360 303540 571667 607080 1143334 1715001 2286668 2858335 3430002 4573336 5716670 6860004 8575005 11433340 13720008 17150010 22866680 34300020 68600040