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2835011420 = 2254110134231
BaseRepresentation
bin1010100011111010…
…1101011101011100
321022120120111112222
42220332231131130
521301230331140
61145152044512
7130153125263
oct25076553534
97276514488
102835011420
11122532104a
12671533738
13362468267
141cc7395da
15118d535b5
hexa8fad75c

2835011420 has 48 divisors (see below), whose sum is σ = 6159295296. Its totient is φ = 1095360000.

The previous prime is 2835011407. The next prime is 2835011483. The reversal of 2835011420 is 241105382.

It is a self number, because there is not a number n which added to its sum of digits gives 2835011420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65705 + ... + 99935.

It is an arithmetic number, because the mean of its divisors is an integer number (128318652).

Almost surely, 22835011420 is an apocalyptic number.

2835011420 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 2835011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079647648).

2835011420 is an abundant number, since it is smaller than the sum of its proper divisors (3324283876).

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

2835011420 is a wasteful number, since it uses less digits than its factorization.

2835011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34382 (or 34380 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2835011420 is about 53244.8252884729. The cubic root of 2835011420 is about 1415.3100944827.

The spelling of 2835011420 in words is "two billion, eight hundred thirty-five million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 8282 16564 20705 34231 41410 68462 82820 136924 171155 342310 684620 1403471 2806942 3457331 5613884 6914662 7017355 13829324 14034710 17286655 28069420 34573310 69146620 141750571 283501142 567002284 708752855 1417505710 2835011420