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85253130 = 23251755721
BaseRepresentation
bin1010001010011…
…01110000001010
312221102022022100
411011031300022
5133311100010
612243134230
72053432254
oct505156012
9187368270
1085253130
1144139a36
1224674376
131487c451
14b472cd4
1577402c0
hex514dc0a

85253130 has 48 divisors (see below), whose sum is σ = 234701064. Its totient is φ = 21396480.

The previous prime is 85253117. The next prime is 85253141. The reversal of 85253130 is 3135258.

85253130 is a `hidden beast` number, since 8 + 525 + 3 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84989961 + 263169 = 9219^2 + 513^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85253094 and 85253103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26331 + ... + 29390.

Almost surely, 285253130 is an apocalyptic number.

85253130 is an abundant number, since it is smaller than the sum of its proper divisors (149447934).

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

85253130 is a wasteful number, since it uses less digits than its factorization.

85253130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55751 (or 55748 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85253130 is about 9233.2621537569. The cubic root of 85253130 is about 440.1189932987.

Adding to 85253130 its reverse (3135258), we get a palindrome (88388388).

The spelling of 85253130 in words is "eighty-five million, two hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 55721 111442 167163 278605 334326 501489 557210 835815 947257 1002978 1671630 1894514 2507445 2841771 4736285 5014890 5683542 8525313 9472570 14208855 17050626 28417710 42626565 85253130