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68137140 = 22351135619
BaseRepresentation
bin1000000111110…
…11000010110100
311202012201120210
410003323002310
5114420342030
610432225420
71455104361
oct403730264
9152181523
1068137140
1135509495
121a99b270
1311168946
149099468
155eadbb0
hex40fb0b4

68137140 has 24 divisors (see below), whose sum is σ = 190784160. Its totient is φ = 18169888.

The previous prime is 68137129. The next prime is 68137141. The reversal of 68137140 is 4173186.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 68137098 and 68137107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68137141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567750 + ... + 567869.

It is an arithmetic number, because the mean of its divisors is an integer number (7949340).

Almost surely, 268137140 is an apocalyptic number.

68137140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68137140 is an abundant number, since it is smaller than the sum of its proper divisors (122647020).

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

68137140 is a wasteful number, since it uses less digits than its factorization.

68137140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135631 (or 1135629 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 68137140 is about 8254.5223968440. The cubic root of 68137140 is about 408.4397172023.

The spelling of 68137140 in words is "sixty-eight million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1135619 2271238 3406857 4542476 5678095 6813714 11356190 13627428 17034285 22712380 34068570 68137140