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2835385380 = 2232515752141
BaseRepresentation
bin1010100100000000…
…1000110000100100
321022121021111112100
42221000020300210
521301324313010
61145204052100
7130156243452
oct25100106044
97277244470
102835385380
111225557003
12671694030
13362569539
141cc7d59d2
15118dc92c0
hexa9008c24

2835385380 has 36 divisors (see below), whose sum is σ = 8600669532. Its totient is φ = 756102720.

The previous prime is 2835385373. The next prime is 2835385411. The reversal of 2835385380 is 835835382.

2835385380 is a `hidden beast` number, since 2 + 83 + 5 + 38 + 538 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 883159524 + 1952225856 = 29718^2 + 44184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7875891 + ... + 7876250.

It is an arithmetic number, because the mean of its divisors is an integer number (238907487).

Almost surely, 22835385380 is an apocalyptic number.

2835385380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2835385380 is an abundant number, since it is smaller than the sum of its proper divisors (5765284152).

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

2835385380 is a wasteful number, since it uses less digits than its factorization.

2835385380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15752156 (or 15752151 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2835385380 is about 53248.3368754368. The cubic root of 2835385380 is about 1415.3723218738.

The spelling of 2835385380 in words is "two billion, eight hundred thirty-five million, three hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15752141 31504282 47256423 63008564 78760705 94512846 141769269 157521410 189025692 236282115 283538538 315042820 472564230 567077076 708846345 945128460 1417692690 2835385380