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515414020 = 225112212981
BaseRepresentation
bin11110101110001…
…001100000000100
31022220211202010011
4132232021200010
52023421222040
6123051040004
715525642532
oct3656114004
91286752104
10515414020
11244a35200
12124740004
1382a21014
144c649152
15303b03ea
hex1eb89804

515414020 has 36 divisors (see below), whose sum is σ = 1189717452. Its totient is φ = 187422400.

The previous prime is 515414017. The next prime is 515414023. The reversal of 515414020 is 20414515.

It is an interprime number because it is at equal distance from previous prime (515414017) and next prime (515414023).

It can be written as a sum of positive squares in 2 ways, for example, as 88661056 + 426752964 = 9416^2 + 20658^2 .

It is a super-2 number, since 2×5154140202 = 531303224025120800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 515413982 and 515414000.

It is not an unprimeable number, because it can be changed into a prime (515414023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104071 + ... + 108910.

It is an arithmetic number, because the mean of its divisors is an integer number (33047707).

Almost surely, 2515414020 is an apocalyptic number.

It is an amenable number.

515414020 is an abundant number, since it is smaller than the sum of its proper divisors (674303432).

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

515414020 is a wasteful number, since it uses less digits than its factorization.

515414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213012 (or 212999 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 515414020 is about 22702.7315537140. The cubic root of 515414020 is about 801.7741977857.

Adding to 515414020 its reverse (20414515), we get a palindrome (535828535).

The spelling of 515414020 in words is "five hundred fifteen million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 212981 425962 851924 1064905 2129810 2342791 4259620 4685582 9371164 11713955 23427910 25770701 46855820 51541402 103082804 128853505 257707010 515414020