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515613340 = 225112778461
BaseRepresentation
bin11110101110111…
…010001010011100
31022221012212112101
4132232322022130
52023444111330
6123055214444
715530432614
oct3656721234
91287185471
10515613340
11245060a30
12124817424
1382a90968
144c69ba44
15303ee4ca
hex1ebba29c

515613340 has 48 divisors (see below), whose sum is σ = 1185627744. Its totient is φ = 186796800.

The previous prime is 515613313. The next prime is 515613353. The reversal of 515613340 is 43316515.

It is a junction number, because it is equal to n+sod(n) for n = 515613299 and 515613308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56710 + ... + 65170.

It is an arithmetic number, because the mean of its divisors is an integer number (24700578).

Almost surely, 2515613340 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 515613340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592813872).

515613340 is an abundant number, since it is smaller than the sum of its proper divisors (670014404).

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

515613340 is a wasteful number, since it uses less digits than its factorization.

515613340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 515613340 is about 22707.1209095297. The cubic root of 515613340 is about 801.8775380331.

Adding to 515613340 its reverse (43316515), we get a palindrome (558929855).

It can be divided in two parts, 5156 and 13340, that added together give a square (18496 = 1362).

The spelling of 515613340 in words is "five hundred fifteen million, six hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1385 2770 3047 5540 6094 8461 12188 15235 16922 30470 33844 42305 60940 84610 93071 169220 186142 372284 465355 930710 1861420 2343697 4687394 9374788 11718485 23436970 25780667 46873940 51561334 103122668 128903335 257806670 515613340