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10066608 = 2432531319
BaseRepresentation
bin100110011001…
…101010110000
3200221102210100
4212121222300
510034112413
6555432400
7151364466
oct46315260
920842710
1010066608
115756212
123455700
132115c96
1414a0836
15d3ca73
hex999ab0

10066608 has 60 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 3289728.

The previous prime is 10066603. The next prime is 10066613. The reversal of 10066608 is 80666001.

It is an interprime number because it is at equal distance from previous prime (10066603) and next prime (10066613).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10066603) 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 11 ways as a sum of consecutive naturals, for example, 6973 + ... + 8291.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 210066608 is an apocalyptic number.

10066608 is a gapful number since it is divisible by the number (18) 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 10066608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

10066608 is an abundant number, since it is smaller than the sum of its proper divisors (18659232).

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

10066608 is a wasteful number, since it uses less digits than its factorization.

10066608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10066608 is about 3172.7918305492. The cubic root of 10066608 is about 215.9207528220.

The spelling of 10066608 in words is "ten million, sixty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1319 1908 2544 2638 3816 3957 5276 7632 7914 10552 11871 15828 21104 23742 31656 47484 63312 69907 94968 139814 189936 209721 279628 419442 559256 629163 838884 1118512 1258326 1677768 2516652 3355536 5033304 10066608