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2421315140 = 2253130712721
BaseRepresentation
bin1001000001010010…
…0101011001000100
320020202010112221112
42100110211121010
514424324041030
61040133104152
7114000560546
oct22024453104
96222115845
102421315140
1110328509a2
12576a88058
132c783c86a
1418d80b696
15e2886a95
hex90525644

2421315140 has 48 divisors (see below), whose sum is σ = 5266297344. Its totient is φ = 934156800.

The previous prime is 2421315139. The next prime is 2421315167. The reversal of 2421315140 is 415131242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183980 + ... + 196700.

It is an arithmetic number, because the mean of its divisors is an integer number (109714528).

Almost surely, 22421315140 is an apocalyptic number.

2421315140 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 2421315140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633148672).

2421315140 is an abundant number, since it is smaller than the sum of its proper divisors (2844982204).

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

2421315140 is a wasteful number, since it uses less digits than its factorization.

2421315140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2421315140 is about 49206.8607005161. The cubic root of 2421315140 is about 1342.8178506147.

Adding to 2421315140 its reverse (415131242), we get a palindrome (2836446382).

The spelling of 2421315140 in words is "two billion, four hundred twenty-one million, three hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 307 310 614 620 1228 1535 3070 6140 9517 12721 19034 25442 38068 47585 50884 63605 95170 127210 190340 254420 394351 788702 1577404 1971755 3905347 3943510 7810694 7887020 15621388 19526735 39053470 78106940 121065757 242131514 484263028 605328785 1210657570 2421315140