Search a number
-
+
2134550420 = 2252313733871
BaseRepresentation
bin111111100111010…
…1010011110010100
312111202112101200222
41333032222132110
513332421103140
6551450453512
7103616244032
oct17716523624
95452471628
102134550420
119a5997362
124b6a34298
132802c70b2
141636c1552
15c75de5b5
hex7f3aa794

2134550420 has 48 divisors (see below), whose sum is σ = 4711730688. Its totient is φ = 810712320.

The previous prime is 2134550399. The next prime is 2134550437. The reversal of 2134550420 is 240554312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2134550420.

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, 46085 + ... + 79955.

It is an arithmetic number, because the mean of its divisors is an integer number (98161056).

Almost surely, 22134550420 is an apocalyptic number.

2134550420 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 2134550420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355865344).

2134550420 is an abundant number, since it is smaller than the sum of its proper divisors (2577180268).

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

2134550420 is a wasteful number, since it uses less digits than its factorization.

2134550420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34040 (or 34038 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2134550420 is about 46201.1950061900. The cubic root of 2134550420 is about 1287.5639421538.

The spelling of 2134550420 in words is "two billion, one hundred thirty-four million, five hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 137 230 274 460 548 685 1370 2740 3151 6302 12604 15755 31510 33871 63020 67742 135484 169355 338710 677420 779033 1558066 3116132 3895165 4640327 7790330 9280654 15580660 18561308 23201635 46403270 92806540 106727521 213455042 426910084 533637605 1067275210 2134550420