Search a number
-
+
2813007180 = 2235232038411
BaseRepresentation
bin1010011110101011…
…0001010101001100
321021001011120102010
42213222301111030
521230112212210
61143044301220
7126465111054
oct24752612514
97231146363
102813007180
111213961a25
126660a1810
1335aa327b9
141c984c564
15116e58920
hexa7ab154c

2813007180 has 48 divisors (see below), whose sum is σ = 8218877184. Its totient is φ = 717520320.

The previous prime is 2813007139. The next prime is 2813007181. The reversal of 2813007180 is 817003182.

It is a happy number.

2813007180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2813007181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017826 + ... + 1020585.

It is an arithmetic number, because the mean of its divisors is an integer number (171226608).

Almost surely, 22813007180 is an apocalyptic number.

2813007180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813007180 is an abundant number, since it is smaller than the sum of its proper divisors (5405870004).

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

2813007180 is a wasteful number, since it uses less digits than its factorization.

2813007180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038446 (or 2038444 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 2813007180 is about 53037.7901123341. The cubic root of 2813007180 is about 1411.6388870490.

The spelling of 2813007180 in words is "two billion, eight hundred thirteen million, seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2038411 4076822 6115233 8153644 10192055 12230466 20384110 24460932 30576165 40768220 46883453 61152330 93766906 122304660 140650359 187533812 234417265 281300718 468834530 562601436 703251795 937669060 1406503590 2813007180