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68523660 = 223251991913
BaseRepresentation
bin1000001010110…
…01011010001100
311202221100210100
410011121122030
5120020224120
610444411100
71461304302
oct405313214
9152840710
1068523660
1135752927
121ab46a90
131127285a
14915a272
156038490
hex415968c

68523660 has 72 divisors (see below), whose sum is σ = 209008800. Its totient is φ = 18171648.

The previous prime is 68523659. The next prime is 68523661. The reversal of 68523660 is 6632586.

It is an interprime number because it is at equal distance from previous prime (68523659) and next prime (68523661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68523661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34864 + ... + 36776.

It is an arithmetic number, because the mean of its divisors is an integer number (2902900).

Almost surely, 268523660 is an apocalyptic number.

68523660 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 68523660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104504400).

68523660 is an abundant number, since it is smaller than the sum of its proper divisors (140485140).

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

68523660 is a wasteful number, since it uses less digits than its factorization.

68523660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 68523660 is about 8277.9019080924. The cubic root of 68523660 is about 409.2105769777.

The spelling of 68523660 in words is "sixty-eight million, five hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1913 1990 2388 2985 3582 3826 3980 5739 5970 7164 7652 8955 9565 11478 11940 17217 17910 19130 22956 28695 34434 35820 38260 57390 68868 86085 114780 172170 344340 380687 761374 1142061 1522748 1903435 2284122 3426183 3806870 4568244 5710305 6852366 7613740 11420610 13704732 17130915 22841220 34261830 68523660