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2413530020 = 2251118160611
BaseRepresentation
bin1000111111011011…
…1000101110100100
320020012111000202202
42033312320232210
514420330430040
61035254154032
7113544444446
oct21766705644
96205430682
102413530020
111029413910
12574352918
132c6045195
1418c782496
15e1d4a015
hex8fdb8ba4

2413530020 has 48 divisors (see below), whose sum is σ = 5559817536. Its totient is φ = 872784000.

The previous prime is 2413529999. The next prime is 2413530023. The reversal of 2413530020 is 200353142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2413529974 and 2413530001.

It is not an unprimeable number, because it can be changed into a prime (2413530023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9515 + ... + 70125.

It is an arithmetic number, because the mean of its divisors is an integer number (115829532).

Almost surely, 22413530020 is an apocalyptic number.

2413530020 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 2413530020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779908768).

2413530020 is an abundant number, since it is smaller than the sum of its proper divisors (3146287516).

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

2413530020 is a wasteful number, since it uses less digits than its factorization.

2413530020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60812 (or 60810 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2413530020 is about 49127.6909695540. The cubic root of 2413530020 is about 1341.3771428988.

Adding to 2413530020 its reverse (200353142), we get a palindrome (2613883162).

The spelling of 2413530020 in words is "two billion, four hundred thirteen million, five hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1810 1991 3620 3982 7964 9955 19910 39820 60611 121222 242444 303055 606110 666721 1212220 1333442 2666884 3333605 6667210 10970591 13334420 21941182 43882364 54852955 109705910 120676501 219411820 241353002 482706004 603382505 1206765010 2413530020