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68432160 = 2535142567
BaseRepresentation
bin1000001010000…
…11000100100000
311202202201021110
410011003010200
5120004312120
610442423320
71460443446
oct405030440
9152681243
1068432160
11356a0105
121ab01b40
1311240004
149134b96
15601b2e0
hex4143120

68432160 has 48 divisors (see below), whose sum is σ = 215562816. Its totient is φ = 18248448.

The previous prime is 68432137. The next prime is 68432183. The reversal of 68432160 is 6123486.

It is an interprime number because it is at equal distance from previous prime (68432137) and next prime (68432183).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70804 + ... + 71763.

It is an arithmetic number, because the mean of its divisors is an integer number (4490892).

Almost surely, 268432160 is an apocalyptic number.

68432160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68432160 is an abundant number, since it is smaller than the sum of its proper divisors (147130656).

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

68432160 is a wasteful number, since it uses less digits than its factorization.

68432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142585 (or 142577 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68432160 is about 8272.3732991204. The cubic root of 68432160 is about 409.0283555084.

The spelling of 68432160 in words is "sixty-eight million, four hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 142567 285134 427701 570268 712835 855402 1140536 1425670 1710804 2138505 2281072 2851340 3421608 4277010 4562144 5702680 6843216 8554020 11405360 13686432 17108040 22810720 34216080 68432160