Search a number
-
+
2140463460 = 223543829637
BaseRepresentation
bin111111110010100…
…1110000101100100
312112011122210212110
41333211032011210
513340424312320
6552221321020
7104020432152
oct17745160544
95464583773
102140463460
119a9265973
124b8a06170
132815b7635
141643c03d2
15c7dab5e0
hex7f94e164

2140463460 has 48 divisors (see below), whose sum is σ = 6132684096. Its totient is φ = 557515392.

The previous prime is 2140463443. The next prime is 2140463471. The reversal of 2140463460 is 643640412.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412239 + ... + 417398.

It is an arithmetic number, because the mean of its divisors is an integer number (127764252).

Almost surely, 22140463460 is an apocalyptic number.

2140463460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140463460 is an abundant number, since it is smaller than the sum of its proper divisors (3992220636).

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

2140463460 is a wasteful number, since it uses less digits than its factorization.

2140463460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829692 (or 829690 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2140463460 is about 46265.1430344703. The cubic root of 2140463460 is about 1288.7517641420.

The spelling of 2140463460 in words is "two billion, one hundred forty million, four hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 829637 1659274 2488911 3318548 4148185 4977822 8296370 9955644 12444555 16592740 24889110 35674391 49778220 71348782 107023173 142697564 178371955 214046346 356743910 428092692 535115865 713487820 1070231730 2140463460