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68507820 = 223251073557
BaseRepresentation
bin1000001010101…
…01100010101100
311202220120001200
410011111202230
5120014222240
610444205500
71461210153
oct405254254
9152816050
1068507820
1135741a37
121ab39890
1311268594
14915459a
156033930
hex41558ac

68507820 has 72 divisors (see below), whose sum is σ = 209808144. Its totient is φ = 18092928.

The previous prime is 68507797. The next prime is 68507833. The reversal of 68507820 is 2870586.

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

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 23 ways as a sum of consecutive naturals, for example, 17482 + ... + 21038.

It is an arithmetic number, because the mean of its divisors is an integer number (2914002).

Almost surely, 268507820 is an apocalyptic number.

68507820 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 68507820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104904072).

68507820 is an abundant number, since it is smaller than the sum of its proper divisors (141300324).

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

68507820 is a wasteful number, since it uses less digits than its factorization.

68507820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 68507820 is about 8276.9450886181. The cubic root of 68507820 is about 409.1790433679.

The spelling of 68507820 in words is "sixty-eight million, five hundred seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3557 3852 4815 6420 7114 9630 10671 14228 17785 19260 21342 32013 35570 42684 53355 64026 71140 106710 128052 160065 213420 320130 380599 640260 761198 1141797 1522396 1902995 2283594 3425391 3805990 4567188 5708985 6850782 7611980 11417970 13701564 17126955 22835940 34253910 68507820