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2130140340 = 2232511834113
BaseRepresentation
bin111111011110111…
…0101110010110100
312111110020100012200
41332331311302310
513330303442330
6551212144500
7103533615456
oct17675656264
95443210180
102130140340
119a3454a69
124b5468130
1327c411993
14162c942d6
15c701ca60
hex7ef75cb4

2130140340 has 36 divisors (see below), whose sum is σ = 6461426244. Its totient is φ = 568037376.

The previous prime is 2130140269. The next prime is 2130140347. The reversal of 2130140340 is 430410312.

2130140340 is a `hidden beast` number, since 21 + 301 + 4 + 0 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213276816 + 1916863524 = 14604^2 + 43782^2 .

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130140347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5916877 + ... + 5917236.

Almost surely, 22130140340 is an apocalyptic number.

2130140340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130140340 is an abundant number, since it is smaller than the sum of its proper divisors (4331285904).

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

2130140340 is a wasteful number, since it uses less digits than its factorization.

2130140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834128 (or 11834123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2130140340 is about 46153.4434251660. The cubic root of 2130140340 is about 1286.6766085421.

Adding to 2130140340 its reverse (430410312), we get a palindrome (2560550652).

The spelling of 2130140340 in words is "two billion, one hundred thirty million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11834113 23668226 35502339 47336452 59170565 71004678 106507017 118341130 142009356 177511695 213014034 236682260 355023390 426028068 532535085 710046780 1065070170 2130140340