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68418216 = 2333893559
BaseRepresentation
bin1000001001111…
…11101010101000
311202202000011000
410010333222220
5120003340331
610442235000
71460355006
oct404775250
9152660130
1068418216
1135690689
121aab5a60
1311236869
14912da76
1560170e6
hex413faa8

68418216 has 64 divisors (see below), whose sum is σ = 192240000. Its totient is φ = 22543488.

The previous prime is 68418179. The next prime is 68418247. The reversal of 68418216 is 61281486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17445 + ... + 21003.

It is an arithmetic number, because the mean of its divisors is an integer number (3003750).

Almost surely, 268418216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68418216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96120000).

68418216 is an abundant number, since it is smaller than the sum of its proper divisors (123821784).

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

68418216 is a wasteful number, since it uses less digits than its factorization.

68418216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3653 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 68418216 is about 8271.5304508900. The cubic root of 68418216 is about 409.0005718912. Note that the first 3 decimals are identical.

The spelling of 68418216 in words is "sixty-eight million, four hundred eighteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 3559 4806 6408 7118 9612 10677 14236 19224 21354 28472 32031 42708 64062 85416 96093 128124 192186 256248 316751 384372 633502 768744 950253 1267004 1900506 2534008 2850759 3801012 5701518 7602024 8552277 11403036 17104554 22806072 34209108 68418216