Search a number
-
+
20007666260 = 2254173834027
BaseRepresentation
bin10010101000100011…
…001100001001010100
31220122100221202101022
4102220203030021110
5311433430310020
613105201420312
71305544233341
oct225043141124
956570852338
1020007666260
11853789587a
123a6463a698
131b6b16019a
14d7b31d7c8
157c1782625
hex4a88cc254

20007666260 has 96 divisors (see below), whose sum is σ = 44167116672. Its totient is φ = 7606241280.

The previous prime is 20007666257. The next prime is 20007666281. The reversal of 20007666260 is 6266670002.

It is a self number, because there is not a number n which added to its sum of digits gives 20007666260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4966367 + ... + 4970393.

It is an arithmetic number, because the mean of its divisors is an integer number (460074132).

Almost surely, 220007666260 is an apocalyptic number.

20007666260 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 20007666260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083558336).

20007666260 is an abundant number, since it is smaller than the sum of its proper divisors (24159450412).

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

20007666260 is a wasteful number, since it uses less digits than its factorization.

20007666260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 20007666260 in words is "twenty billion, seven million, six hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 73 82 83 146 164 166 205 292 332 365 410 415 730 820 830 1460 1660 2993 3403 4027 5986 6059 6806 8054 11972 12118 13612 14965 16108 17015 20135 24236 29930 30295 34030 40270 59860 60590 68060 80540 121180 165107 248419 293971 330214 334241 496838 587942 660428 668482 825535 993676 1175884 1242095 1336964 1469855 1651070 1671205 2484190 2939710 3302140 3342410 4968380 5879420 6684820 12052811 13703881 24105622 24399593 27407762 48211244 48799186 54815524 60264055 68519405 97598372 120528110 121997965 137038810 241056220 243995930 274077620 487991860 1000383313 2000766626 4001533252 5001916565 10003833130 20007666260