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20076660 = 22310517
BaseRepresentation
bin100110010010…
…1100001110100
31101210000000000
41030211201310
520114423120
61554151300
7332435352
oct114454164
941700000
1020076660
111037298a
126882530
13420c2a6
1429487d2
151b68990
hex1325874

20076660 has 132 divisors (see below), whose sum is σ = 66961188. Its totient is φ = 5038848.

The previous prime is 20076611. The next prime is 20076691. The reversal of 20076660 is 6667002.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 8503056 = 3402^2 + 2916^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 43 ways as a sum of consecutive naturals, for example, 1180972 + ... + 1180988.

Almost surely, 220076660 is an apocalyptic number.

20076660 is a gapful number since it is divisible by the number (20) 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 20076660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480594).

20076660 is an abundant number, since it is smaller than the sum of its proper divisors (46884528).

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

20076660 is an equidigital number, since it uses as much as digits as its factorization.

20076660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20076660 is about 4480.6986062443. The cubic root of 20076660 is about 271.7881315812.

It can be divided in two parts, 20076 and 660, that added together give a 4-th power (20736 = 124).

The spelling of 20076660 in words is "twenty million, seventy-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 405 459 486 510 540 612 729 765 810 918 972 1020 1215 1377 1458 1530 1620 1836 2187 2295 2430 2754 2916 3060 3645 4131 4374 4590 4860 5508 6561 6885 7290 8262 8748 9180 10935 12393 13122 13770 14580 16524 19683 20655 21870 24786 26244 27540 32805 37179 39366 41310 43740 49572 59049 61965 65610 74358 78732 82620 98415 111537 118098 123930 131220 148716 185895 196830 223074 236196 247860 295245 334611 371790 393660 446148 557685 590490 669222 743580 1003833 1115370 1180980 1338444 1673055 2007666 2230740 3346110 4015332 5019165 6692220 10038330 20076660