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516729060 = 223252870717
BaseRepresentation
bin11110110011001…
…010100011100100
31100000022120000100
4132303022203210
52024240312220
6123135144100
715543060501
oct3663124344
91300276010
10516729060
11245753211
12125075030
1383091753
144c8ac4a8
153056ed90
hex1ecca8e4

516729060 has 36 divisors (see below), whose sum is σ = 1567412028. Its totient is φ = 137794368.

The previous prime is 516729053. The next prime is 516729067. The reversal of 516729060 is 60927615.

It is an interprime number because it is at equal distance from previous prime (516729053) and next prime (516729067).

It can be written as a sum of positive squares in 2 ways, for example, as 386358336 + 130370724 = 19656^2 + 11418^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516729067) 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, 1435179 + ... + 1435538.

It is an arithmetic number, because the mean of its divisors is an integer number (43539223).

Almost surely, 2516729060 is an apocalyptic number.

It is an amenable number.

516729060 is an abundant number, since it is smaller than the sum of its proper divisors (1050682968).

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

516729060 is a wasteful number, since it uses less digits than its factorization.

516729060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870732 (or 2870727 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 516729060 is about 22731.6752572264. The cubic root of 516729060 is about 802.4555074759.

The spelling of 516729060 in words is "five hundred sixteen million, seven hundred twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2870717 5741434 8612151 11482868 14353585 17224302 25836453 28707170 34448604 43060755 51672906 57414340 86121510 103345812 129182265 172243020 258364530 516729060