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2684020460 = 22511101199607
BaseRepresentation
bin1001111111111010…
…1110011011101100
320221001110100220012
42133332232123230
520444102123320
61122155512352
7123340540352
oct23776563354
96831410805
102684020460
111158072330
1262aa586b8
1333a0b02b4
141b66737d2
1510a97a4c5
hex9ffae6ec

2684020460 has 96 divisors (see below), whose sum is σ = 6251212800. Its totient is φ = 959904000.

The previous prime is 2684020459. The next prime is 2684020477. The reversal of 2684020460 is 640204862.

It is a happy number.

It is a super-2 number, since 2×26840204602 = 14407931659397223200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4421477 + ... + 4422083.

It is an arithmetic number, because the mean of its divisors is an integer number (65116800).

Almost surely, 22684020460 is an apocalyptic number.

2684020460 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 2684020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

2684020460 is an abundant number, since it is smaller than the sum of its proper divisors (3567192340).

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

2684020460 is a wasteful number, since it uses less digits than its factorization.

2684020460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2684020460 is about 51807.5328499630. The cubic root of 2684020460 is about 1389.7241589864.

The spelling of 2684020460 in words is "two billion, six hundred eighty-four million, twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 199 202 220 398 404 505 607 796 995 1010 1111 1214 1990 2020 2189 2222 2428 3035 3980 4378 4444 5555 6070 6677 8756 10945 11110 12140 13354 20099 21890 22220 26708 33385 40198 43780 61307 66770 80396 100495 120793 122614 133540 200990 221089 241586 245228 306535 401980 442178 483172 603965 613070 674377 884356 1105445 1207930 1226140 1328723 1348754 2210890 2415860 2657446 2697508 3371885 4421780 5314892 6643615 6743770 12200093 13287230 13487540 24400186 26574460 48800372 61000465 122000930 134201023 244001860 268402046 536804092 671005115 1342010230 2684020460