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66068840 = 23547113311
BaseRepresentation
bin1111110000001…
…0000101101000
311121022122102002
43330002011220
5113403200330
610320030132
71431401345
oct374020550
9147278362
1066068840
1134326552
121a162348
13108c33b6
148abb7cc
155c00e45
hex3f02168

66068840 has 64 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 25553920.

The previous prime is 66068839. The next prime is 66068881. The reversal of 66068840 is 4886066.

It is a junction number, because it is equal to n+sod(n) for n = 66068794 and 66068803.

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, 212285 + ... + 212595.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 266068840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

66068840 is an abundant number, since it is smaller than the sum of its proper divisors (87584920).

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

66068840 is a wasteful number, since it uses less digits than its factorization.

66068840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 66068840 is about 8128.2741095512. The cubic root of 66068840 is about 404.2644577671.

The spelling of 66068840 in words is "sixty-six million, sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 113 188 226 235 311 376 452 470 565 622 904 940 1130 1244 1555 1880 2260 2488 3110 4520 5311 6220 10622 12440 14617 21244 26555 29234 35143 42488 53110 58468 70286 73085 106220 116936 140572 146170 175715 212440 281144 292340 351430 584680 702860 1405720 1651721 3303442 6606884 8258605 13213768 16517210 33034420 66068840