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68357406 = 23131018677
BaseRepresentation
bin1000001001100…
…00110100011110
311202121220201210
410010300310132
5114444414111
610441045250
71460012505
oct404606436
9152556653
1068357406
1135649a27
121aa86826
1311214c90
14911583c
1560040a6
hex4130d1e

68357406 has 32 divisors (see below), whose sum is σ = 148706208. Its totient is φ = 20822400.

The previous prime is 68357371. The next prime is 68357413. The reversal of 68357406 is 60475386.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3540 + ... + 12216.

It is an arithmetic number, because the mean of its divisors is an integer number (4647069).

Almost surely, 268357406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68357406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74353104).

68357406 is an abundant number, since it is smaller than the sum of its proper divisors (80348802).

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

68357406 is a wasteful number, since it uses less digits than its factorization.

68357406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796.

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 68357406 is about 8267.8537722918. The cubic root of 68357406 is about 408.8793629579.

It can be divided in two parts, 6835 and 7406, that added together give a palindrome (14241).

The spelling of 68357406 in words is "sixty-eight million, three hundred fifty-seven thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 1313 2626 3939 7878 8677 17354 26031 52062 112801 225602 338403 676806 876377 1752754 2629131 5258262 11392901 22785802 34178703 68357406