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2023024240 = 245199713721
BaseRepresentation
bin111100010010100…
…1110011001110000
312012222200021112201
41320211032121300
513120343233430
6532424232544
7101063264566
oct17045163160
95188607481
102023024240
11948a43066
1248560b754
13263179183
1415296da36
15bc90e8ca
hex7894e670

2023024240 has 80 divisors (see below), whose sum is σ = 5002492320. Its totient is φ = 758661120.

The previous prime is 2023024193. The next prime is 2023024301. The reversal of 2023024240 is 424203202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140580 + ... + 154300.

It is an arithmetic number, because the mean of its divisors is an integer number (62531154).

Almost surely, 22023024240 is an apocalyptic number.

2023024240 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 2023024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501246160).

2023024240 is an abundant number, since it is smaller than the sum of its proper divisors (2979468080).

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

2023024240 is a wasteful number, since it uses less digits than its factorization.

2023024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13844 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2023024240 is about 44978.0417537269. The cubic root of 2023024240 is about 1264.7374022036.

Adding to 2023024240 its reverse (424203202), we get a palindrome (2447227442).

The spelling of 2023024240 in words is "two billion, twenty-three million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 97 152 190 194 304 380 388 485 760 776 970 1520 1552 1843 1940 3686 3880 7372 7760 9215 13721 14744 18430 27442 29488 36860 54884 68605 73720 109768 137210 147440 219536 260699 274420 521398 548840 1042796 1097680 1303495 1330937 2085592 2606990 2661874 4171184 5213980 5323748 6654685 10427960 10647496 13309370 20855920 21294992 25287803 26618740 50575606 53237480 101151212 106474960 126439015 202302424 252878030 404604848 505756060 1011512120 2023024240