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68107620 = 22357315231
BaseRepresentation
bin1000000111100…
…11110101100100
311202011020002110
410003303311210
5114413420440
610431441020
71454622330
oct403636544
9152136073
1068107620
1135499299
121a986170
1311158389
14908c7c0
155ea5080
hex40f3d64

68107620 has 96 divisors (see below), whose sum is σ = 225017856. Its totient is φ = 15062400.

The previous prime is 68107619. The next prime is 68107621. The reversal of 68107620 is 2670186.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68107619) and next prime (68107621).

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

It is not an unprimeable number, because it can be changed into a prime (68107621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10405 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (2343936).

Almost surely, 268107620 is an apocalyptic number.

68107620 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68107620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112508928).

68107620 is an abundant number, since it is smaller than the sum of its proper divisors (156910236).

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

68107620 is a wasteful number, since it uses less digits than its factorization.

68107620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5279 counting only the distinct ones).

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

The square root of 68107620 is about 8252.7340924084. The cubic root of 68107620 is about 408.3807240105.

The spelling of 68107620 in words is "sixty-eight million, one hundred seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2604 3255 4340 5231 6510 10462 13020 15693 20924 26155 31386 36617 52310 62772 73234 78465 104620 109851 146468 156930 162161 183085 219702 313860 324322 366170 439404 486483 549255 648644 732340 810805 972966 1098510 1135127 1621610 1945932 2197020 2270254 2432415 3243220 3405381 4540508 4864830 5675635 6810762 9729660 11351270 13621524 17026905 22702540 34053810 68107620