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10604280330 = 23257142911779
BaseRepresentation
bin10011110000001000…
…00111101000001010
31000101000211020220100
421320010013220022
5133204143432310
64512130310230
7523532616120
oct117004075012
930330736810
1010604280330
114551926846
12207b428376
13cccc543b7
14728501910
15420e73ec0
hex278107a0a

10604280330 has 96 divisors (see below), whose sum is σ = 31534588800. Its totient is φ = 2421933696.

The previous prime is 10604280317. The next prime is 10604280343. The reversal of 10604280330 is 3308240601.

It is a happy number.

10604280330 is a `hidden beast` number, since 1 + 0 + 604 + 28 + 0 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (10604280317) and next prime (10604280343).

It is a super-2 number, since 2×106042803302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10604280294 and 10604280303.

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 47 ways as a sum of consecutive naturals, for example, 894381 + ... + 906159.

It is an arithmetic number, because the mean of its divisors is an integer number (328485300).

Almost surely, 210604280330 is an apocalyptic number.

10604280330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10604280330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767294400).

10604280330 is an abundant number, since it is smaller than the sum of its proper divisors (20930308470).

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

10604280330 is a wasteful number, since it uses less digits than its factorization.

10604280330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10604280330 in words is "ten billion, six hundred four million, two hundred eighty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1429 2858 4287 7145 8574 10003 11779 12861 14290 20006 21435 23558 25722 30009 35337 42870 50015 58895 60018 64305 70674 82453 90027 100030 106011 117790 128610 150045 164906 176685 180054 212022 247359 300090 353370 412265 450135 494718 530055 742077 824530 900270 1060110 1236795 1484154 2473590 3710385 7420770 16832191 33664382 50496573 84160955 100993146 117825337 151489719 168321910 235650674 252482865 302979438 353476011 504965730 589126685 706952022 757448595 1060428033 1178253370 1514897190 1767380055 2120856066 3534760110 5302140165 10604280330