Search a number
-
+
2421055760 = 24561349369
BaseRepresentation
bin1001000001001110…
…0110000100010000
320020201122101010212
42100103212010100
514424242241020
61040123343252
7113665430414
oct22023460420
96221571125
102421055760
111032694032
12576981b28
132c777b796
1418d780d44
15e2834cc5
hex904e6110

2421055760 has 40 divisors (see below), whose sum is σ = 5638251480. Its totient is φ = 966822912.

The previous prime is 2421055759. The next prime is 2421055823. The reversal of 2421055760 is 675501242.

It can be written as a sum of positive squares in 4 ways, for example, as 115519504 + 2305536256 = 10748^2 + 48016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24356 + ... + 73724.

It is an arithmetic number, because the mean of its divisors is an integer number (140956287).

Almost surely, 22421055760 is an apocalyptic number.

2421055760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421055760 is an abundant number, since it is smaller than the sum of its proper divisors (3217195720).

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

2421055760 is a wasteful number, since it uses less digits than its factorization.

2421055760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49995 (or 49989 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 2421055760 is about 49204.2250218414. The cubic root of 2421055760 is about 1342.7698997407.

The spelling of 2421055760 in words is "two billion, four hundred twenty-one million, fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 613 1226 2452 3065 4904 6130 9808 12260 24520 49040 49369 98738 197476 246845 394952 493690 789904 987380 1974760 3949520 30263197 60526394 121052788 151315985 242105576 302631970 484211152 605263940 1210527880 2421055760