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516000132 = 22342954917
BaseRepresentation
bin11110110000011…
…000100110000100
31022221221112010000
4132300120212010
52024044001012
6123111401300
715533633364
oct3660304604
91287845100
10516000132
112452a559a
12124983230
1382b97a2b
144c75c9a4
1530478ddc
hex1ec18984

516000132 has 60 divisors (see below), whose sum is σ = 1395466380. Its totient is φ = 166065984.

The previous prime is 516000131. The next prime is 516000139. The reversal of 516000132 is 231000615.

516000132 is a `hidden beast` number, since 51 + 600 + 0 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224820036 + 291180096 = 14994^2 + 17064^2 .

It is a super-2 number, since 2×5160001322 = 532512272448034848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (516000131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18063 + ... + 36854.

It is an arithmetic number, because the mean of its divisors is an integer number (23257773).

Almost surely, 2516000132 is an apocalyptic number.

It is an amenable number.

516000132 is an abundant number, since it is smaller than the sum of its proper divisors (879466248).

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

516000132 is a wasteful number, since it uses less digits than its factorization.

516000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54962 (or 54951 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 516000132 is about 22715.6362886889. The cubic root of 516000132 is about 802.0779998059.

Adding to 516000132 its reverse (231000615), we get a palindrome (747000747).

The spelling of 516000132 in words is "five hundred sixteen million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 54917 109834 164751 219668 329502 494253 659004 988506 1482759 1592593 1977012 2965518 3185186 4448277 4777779 5931036 6370372 8896554 9555558 14333337 17793108 19111116 28666674 43000011 57333348 86000022 129000033 172000044 258000066 516000132