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68642141 = 1737611789
BaseRepresentation
bin1000001011101…
…10010101011101
311210011101022112
410011312111131
5120033022031
610451123405
71462306601
oct405662535
9153141275
1068642141
1135823947
121aba3565
13112b4769
14918b501
15605d62b
hex417655d

68642141 has 16 divisors (see below), whose sum is σ = 75910320. Its totient is φ = 61793280.

The previous prime is 68642131. The next prime is 68642149. The reversal of 68642141 is 14124686.

It can be written as a sum of positive squares in 8 ways, for example, as 7958041 + 60684100 = 2821^2 + 7790^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-68642141 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 68642098 and 68642107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68642149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37475 + ... + 39263.

It is an arithmetic number, because the mean of its divisors is an integer number (4744395).

Almost surely, 268642141 is an apocalyptic number.

68642141 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

68642141 is a deficient number, since it is larger than the sum of its proper divisors (7268179).

68642141 is a wasteful number, since it uses less digits than its factorization.

68642141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904.

The product of its digits is 9216, while the sum is 32.

The square root of 68642141 is about 8285.0552804432. The cubic root of 68642141 is about 409.4462900223.

The spelling of 68642141 in words is "sixty-eight million, six hundred forty-two thousand, one hundred forty-one".

Divisors: 1 17 37 61 629 1037 1789 2257 30413 38369 66193 109129 1125281 1855193 4037773 68642141