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2813133060 = 2232590717231
BaseRepresentation
bin1010011110101101…
…0000000100000100
321021001101222002100
42213223100010010
521230130224220
61143051112100
7126466144053
oct24753200404
97231358070
102813133060
111213a38561
12666142630
1335aa77b9a
141c988239a
15116e80d90
hexa7ad0104

2813133060 has 72 divisors (see below), whose sum is σ = 8543074176. Its totient is φ = 749298240.

The previous prime is 2813133031. The next prime is 2813133061. The reversal of 2813133060 is 603313182.

It is a happy number.

It is a super-2 number, since 2×28131330602 = 15827435226529927200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2813133061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154645 + ... + 171875.

It is an arithmetic number, because the mean of its divisors is an integer number (118653808).

Almost surely, 22813133060 is an apocalyptic number.

2813133060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813133060 is an abundant number, since it is smaller than the sum of its proper divisors (5729941116).

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

2813133060 is a wasteful number, since it uses less digits than its factorization.

2813133060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18153 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2813133060 is about 53038.9768000854. The cubic root of 2813133060 is about 1411.6599433352.

The spelling of 2813133060 in words is "two billion, eight hundred thirteen million, one hundred thirty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 907 1814 2721 3628 4535 5442 8163 9070 10884 13605 16326 17231 18140 27210 32652 34462 40815 51693 54420 68924 81630 86155 103386 155079 163260 172310 206772 258465 310158 344620 516930 620316 775395 1033860 1550790 3101580 15628517 31257034 46885551 62514068 78142585 93771102 140656653 156285170 187542204 234427755 281313306 312570340 468855510 562626612 703283265 937711020 1406566530 2813133060