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2410442020 = 225727163533
BaseRepresentation
bin1000111110101100…
…0110110100100100
320012222200010211101
42033223012310210
514414033121040
61035104045444
7113506263520
oct21753066444
96188603741
102410442020
1110276a4848
12573303884
132c550376c
1418c1bad80
15e193a09a
hex8fac6d24

2410442020 has 48 divisors (see below), whose sum is σ = 5806499328. Its totient is φ = 823374720.

The previous prime is 2410442009. The next prime is 2410442033. The reversal of 2410442020 is 202440142.

2410442020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6174 + ... + 69706.

It is an arithmetic number, because the mean of its divisors is an integer number (120968736).

Almost surely, 22410442020 is an apocalyptic number.

2410442020 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 2410442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903249664).

2410442020 is an abundant number, since it is smaller than the sum of its proper divisors (3396057308).

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

2410442020 is a wasteful number, since it uses less digits than its factorization.

2410442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63820 (or 63818 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2410442020 is about 49096.2526064872. The cubic root of 2410442020 is about 1340.8048220780.

Adding to 2410442020 its reverse (202440142), we get a palindrome (2612882162).

The spelling of 2410442020 in words is "two billion, four hundred ten million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 271 542 1084 1355 1897 2710 3794 5420 7588 9485 18970 37940 63533 127066 254132 317665 444731 635330 889462 1270660 1778924 2223655 4447310 8894620 17217443 34434886 68869772 86087215 120522101 172174430 241044202 344348860 482088404 602610505 1205221010 2410442020