Search a number
-
+
2413443420 = 22325174797173
BaseRepresentation
bin1000111111011010…
…0011100101011100
320020012022121222100
42033312203211130
514420320142140
61035252245100
7113543634123
oct21766434534
96205277870
102413443420
111029364843
12574310790
132c601493b
1418c75caba
15e1d2e530
hex8fda395c

2413443420 has 288 divisors, whose sum is σ = 8044178688. Its totient is φ = 583335936.

The previous prime is 2413443401. The next prime is 2413443421. The reversal of 2413443420 is 243443142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413443421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13950454 + ... + 13950626.

It is an arithmetic number, because the mean of its divisors is an integer number (27931176).

Almost surely, 22413443420 is an apocalyptic number.

2413443420 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 2413443420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022089344).

2413443420 is an abundant number, since it is smaller than the sum of its proper divisors (5630735268).

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

2413443420 is a wasteful number, since it uses less digits than its factorization.

2413443420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2413443420 is about 49126.8095849914. The cubic root of 2413443420 is about 1341.3610993652.

Adding to 2413443420 its reverse (243443142), we get a palindrome (2656886562).

The spelling of 2413443420 in words is "two billion, four hundred thirteen million, four hundred forty-three thousand, four hundred twenty".