Search a number
-
+
2123315240 = 235314736433
BaseRepresentation
bin111111010001111…
…0011100000101000
312110222101120221012
41332203303200220
513322032041430
6550410003052
7103421611304
oct17643634050
95428346835
102123315240
1199a613192
124b3116488
1327ab92267
14161dd8d04
15c6620695
hex7e8f3828

2123315240 has 64 divisors (see below), whose sum is σ = 5036636160. Its totient is φ = 804418560.

The previous prime is 2123315237. The next prime is 2123315269. The reversal of 2123315240 is 425133212.

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, 40064 + ... + 76496.

It is an arithmetic number, because the mean of its divisors is an integer number (78697440).

Almost surely, 22123315240 is an apocalyptic number.

2123315240 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 2123315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518318080).

2123315240 is an abundant number, since it is smaller than the sum of its proper divisors (2913320920).

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

2123315240 is a wasteful number, since it uses less digits than its factorization.

2123315240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36522 (or 36518 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2123315240 is about 46079.4448751284. Note that the first 3 decimals coincide. The cubic root of 2123315240 is about 1285.3009413904.

Adding to 2123315240 its reverse (425133212), we get a palindrome (2548448452).

The spelling of 2123315240 in words is "two billion, one hundred twenty-three million, three hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2914 5828 7285 11656 14570 29140 36433 58280 72866 145732 182165 291464 364330 728660 1129423 1457320 1712351 2258846 3424702 4517692 5647115 6849404 8561755 9035384 11294230 13698808 17123510 22588460 34247020 45176920 53082881 68494040 106165762 212331524 265414405 424663048 530828810 1061657620 2123315240