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68001680 = 245850021
BaseRepresentation
bin1000000110110…
…01111110010000
311201221211202202
410003121332100
5114402023210
610425302332
71454001425
oct403317620
9151854682
1068001680
113542673a
121a9349a8
131111c0a6
149061d4c
155e839a5
hex40d9f90

68001680 has 20 divisors (see below), whose sum is σ = 158104092. Its totient is φ = 27200640.

The previous prime is 68001653. The next prime is 68001691. The reversal of 68001680 is 8610086.

It can be written as a sum of positive squares in 2 ways, for example, as 36820624 + 31181056 = 6068^2 + 5584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 424931 + ... + 425090.

Almost surely, 268001680 is an apocalyptic number.

It is an amenable number.

68001680 is an abundant number, since it is smaller than the sum of its proper divisors (90102412).

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

68001680 is a wasteful number, since it uses less digits than its factorization.

68001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850034 (or 850028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 68001680 is about 8246.3131155687. The cubic root of 68001680 is about 408.1688715271.

The spelling of 68001680 in words is "sixty-eight million, one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 850021 1700042 3400084 4250105 6800168 8500210 13600336 17000420 34000840 68001680