Search a number
-
+
2023023240 = 233257802787
BaseRepresentation
bin111100010010100…
…1110001010001000
312012222200020011200
41320211032022020
513120343220430
6532424224200
7101063261640
oct17045161210
95188606150
102023023240
11948a42337
1248560b060
13263178894
1415296d520
15bc90e460
hex7894e288

2023023240 has 96 divisors (see below), whose sum is σ = 7514095680. Its totient is φ = 462404736.

The previous prime is 2023023227. The next prime is 2023023257. The reversal of 2023023240 is 423203202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398874 + ... + 403913.

It is an arithmetic number, because the mean of its divisors is an integer number (78271830).

Almost surely, 22023023240 is an apocalyptic number.

2023023240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023023240 is an abundant number, since it is smaller than the sum of its proper divisors (5491072440).

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

2023023240 is a wasteful number, since it uses less digits than its factorization.

2023023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802811 (or 802804 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2023023240 is about 44978.0306371900. The cubic root of 2023023240 is about 1264.7371938131.

Adding to 2023023240 its reverse (423203202), we get a palindrome (2446226442).

The spelling of 2023023240 in words is "two billion, twenty-three million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 802787 1605574 2408361 3211148 4013935 4816722 5619509 6422296 7225083 8027870 9633444 11239018 12041805 14450166 16055740 16858527 19266888 22478036 24083610 28097545 28900332 32111480 33717054 36125415 44956072 48167220 50575581 56195090 57800664 67434108 72250830 84292635 96334440 101151162 112390180 134868216 144501660 168585270 202302324 224780360 252877905 289003320 337170540 404604648 505755810 674341080 1011511620 2023023240