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513403080 = 233510939251
BaseRepresentation
bin11110100110011…
…110100011001000
31022210001120121220
4132212132203020
52022412344310
6122540002040
715502565661
oct3646364310
91283046556
10513403080
11243891373
12123b30320
1382498908
144c284368
1530114670
hex1e99e8c8

513403080 has 64 divisors (see below), whose sum is σ = 1554379200. Its totient is φ = 135648000.

The previous prime is 513403069. The next prime is 513403117. The reversal of 513403080 is 80304315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 513403080.

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, 6546 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (24287175).

Almost surely, 2513403080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513403080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777189600).

513403080 is an abundant number, since it is smaller than the sum of its proper divisors (1040976120).

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

513403080 is a wasteful number, since it uses less digits than its factorization.

513403080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39374 (or 39370 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 513403080 is about 22658.3997669738. The cubic root of 513403080 is about 800.7301043152.

Adding to 513403080 its reverse (80304315), we get a palindrome (593707395).

The spelling of 513403080 in words is "five hundred thirteen million, four hundred three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 39251 78502 117753 157004 196255 235506 314008 392510 471012 588765 785020 942024 1177530 1570040 2355060 4278359 4710120 8556718 12835077 17113436 21391795 25670154 34226872 42783590 51340308 64175385 85567180 102680616 128350770 171134360 256701540 513403080