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68813600 = 255286017
BaseRepresentation
bin1000001101000…
…00001100100000
311210111002111212
410012200030200
5120104013400
610454525252
71463622512
oct406401440
9153432455
1068813600
1135930749
121b066828
131134480b
1491d3bb2
156094335
hex41a0320

68813600 has 36 divisors (see below), whose sum is σ = 167993154. Its totient is φ = 27525120.

The previous prime is 68813567. The next prime is 68813609. The reversal of 68813600 is 631886.

It can be written as a sum of positive squares in 3 ways, for example, as 56731024 + 12082576 = 7532^2 + 3476^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (68813609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 42209 + ... + 43808.

Almost surely, 268813600 is an apocalyptic number.

It is an amenable number.

68813600 is an abundant number, since it is smaller than the sum of its proper divisors (99179554).

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

68813600 is a wasteful number, since it uses less digits than its factorization.

68813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86037 (or 86024 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 68813600 is about 8295.3963136188. The cubic root of 68813600 is about 409.7869208096.

The spelling of 68813600 in words is "sixty-eight million, eight hundred thirteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 86017 172034 344068 430085 688136 860170 1376272 1720340 2150425 2752544 3440680 4300850 6881360 8601700 13762720 17203400 34406800 68813600