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2140323020 = 2251121946549
BaseRepresentation
bin111111110010010…
…1011110011001100
312112011101200012222
41333210223303030
513340410314040
6552214314512
7104016305543
oct17744536314
95464350188
102140323020
119a917a400
124b8958a38
13281568734
1416438515a
15c7d7ebb5
hex7f92bccc

2140323020 has 72 divisors (see below), whose sum is σ = 5200566000. Its totient is φ = 737320320.

The previous prime is 2140323011. The next prime is 2140323037. The reversal of 2140323020 is 203230412.

It is a self number, because there is not a number n which added to its sum of digits gives 2140323020.

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 23 ways as a sum of consecutive naturals, for example, 22706 + ... + 69254.

Almost surely, 22140323020 is an apocalyptic number.

2140323020 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 2140323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600283000).

2140323020 is an abundant number, since it is smaller than the sum of its proper divisors (3060242980).

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

2140323020 is a wasteful number, since it uses less digits than its factorization.

2140323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46599 (or 46586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2140323020 is about 46263.6252362480. The cubic root of 2140323020 is about 1288.7235776830.

Adding to 2140323020 its reverse (203230412), we get a palindrome (2343553432).

The spelling of 2140323020 in words is "two billion, one hundred forty million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 2090 2299 2420 4180 4598 9196 11495 22990 45980 46549 93098 186196 232745 465490 512039 884431 930980 1024078 1768862 2048156 2560195 3537724 4422155 5120390 5632429 8844310 9728741 10240780 11264858 17688620 19457482 22529716 28162145 38914964 48643705 56324290 97287410 107016151 112648580 194574820 214032302 428064604 535080755 1070161510 2140323020