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683329020 = 2235112274561
BaseRepresentation
bin101000101110101…
…100010111111100
31202121210201012020
4220232230113330
52344413012040
6151450040140
722635125613
oct5056542774
91677721166
10683329020
113207a3230
12170a19050
13ab7532ca
1466a7887a
153eecccd0
hex28bac5fc

683329020 has 96 divisors (see below), whose sum is σ = 2096914176. Its totient is φ = 164889600.

The previous prime is 683329007. The next prime is 683329037. The reversal of 683329020 is 20923386.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147540 + ... + 152100.

It is an arithmetic number, because the mean of its divisors is an integer number (21842856).

Almost surely, 2683329020 is an apocalyptic number.

683329020 is a gapful number since it is divisible by the number (60) 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 683329020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048457088).

683329020 is an abundant number, since it is smaller than the sum of its proper divisors (1413585156).

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

683329020 is a wasteful number, since it uses less digits than its factorization.

683329020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 683329020 is about 26140.5627330400. The cubic root of 683329020 is about 880.7986121504.

It can be divided in two parts, 6833 and 29020, that added together give a palindrome (35853).

The spelling of 683329020 in words is "six hundred eighty-three million, three hundred twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 908 1135 1362 2270 2497 2724 3405 4540 4561 4994 6810 7491 9122 9988 12485 13620 13683 14982 18244 22805 24970 27366 29964 37455 45610 49940 50171 54732 68415 74910 91220 100342 136830 149820 150513 200684 250855 273660 301026 501710 602052 752565 1003420 1035347 1505130 2070694 3010260 3106041 4141388 5176735 6212082 10353470 11388817 12424164 15530205 20706940 22777634 31060410 34166451 45555268 56944085 62120820 68332902 113888170 136665804 170832255 227776340 341664510 683329020