Search a number
-
+
2126185320 = 2335723110051
BaseRepresentation
bin111111010111011…
…0000001101101000
312111011210101221110
41332232300031220
513323300412240
6550551310320
7103455164010
oct17656601550
95434711843
102126185320
119a11a3556
124b407b3a0
1327b65872c
14162544c40
15c69dac80
hex7ebb0368

2126185320 has 128 divisors (see below), whose sum is σ = 7606794240. Its totient is φ = 464851200.

The previous prime is 2126185289. The next prime is 2126185331. The reversal of 2126185320 is 235816212.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 35706 + ... + 74345.

It is an arithmetic number, because the mean of its divisors is an integer number (59428080).

Almost surely, 22126185320 is an apocalyptic number.

2126185320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126185320 is an abundant number, since it is smaller than the sum of its proper divisors (5480608920).

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

2126185320 is a wasteful number, since it uses less digits than its factorization.

2126185320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110095 (or 110091 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2126185320 is about 46110.5770946320. The cubic root of 2126185320 is about 1285.8797933673.

The spelling of 2126185320 in words is "two billion, one hundred twenty-six million, one hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 110051 220102 330153 440204 550255 660306 770357 880408 1100510 1320612 1540714 1650765 2201020 2311071 2531173 2641224 3081428 3301530 3851785 4402040 4622142 5062346 6162856 6603060 7593519 7703570 9244284 10124692 11555355 12655865 13206120 15187038 15407140 17718211 18488568 20249384 23110710 25311730 30374076 30814280 35436422 37967595 46221420 50623460 53154633 60748152 70872844 75935190 88591055 92442840 101246920 106309266 141745688 151870380 177182110 212618532 265773165 303740760 354364220 425237064 531546330 708728440 1063092660 2126185320