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85360520 = 2357833673
BaseRepresentation
bin1010001011001…
…11111110001000
312221121202121202
411011213332020
5133323014040
612245323332
72054360330
oct505477610
9187552552
1085360520
1144202693
1224706548
13148b92ab
14b4a00c0
157762015
hex5167f88

85360520 has 64 divisors (see below), whose sum is σ = 222203520. Its totient is φ = 28905984.

The previous prime is 85360501. The next prime is 85360549. The reversal of 85360520 is 2506358.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21404 + ... + 25076.

It is an arithmetic number, because the mean of its divisors is an integer number (3471930).

Almost surely, 285360520 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 85360520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111101760).

85360520 is an abundant number, since it is smaller than the sum of its proper divisors (136843000).

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

85360520 is a wasteful number, since it uses less digits than its factorization.

85360520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 85360520 is about 9239.0757113469. The cubic root of 85360520 is about 440.3037159276.

Adding to 85360520 its reverse (2506358), we get a palindrome (87866878).

The spelling of 85360520 in words is "eighty-five million, three hundred sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 3673 4648 5810 7346 11620 14692 18365 23240 25711 29384 36730 51422 73460 102844 128555 146920 205688 257110 304859 514220 609718 1028440 1219436 1524295 2134013 2438872 3048590 4268026 6097180 8536052 10670065 12194360 17072104 21340130 42680260 85360520