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85520520 = 233251912503
BaseRepresentation
bin1010001100011…
…11000010001000
312221220220002200
411012033002020
5133343124040
612253000200
72055624651
oct506170210
9187826080
1085520520
1144301918
1224783060
1314944077
14b502528
157794630
hex518f088

85520520 has 96 divisors (see below), whose sum is σ = 292593600. Its totient is φ = 21603456.

The previous prime is 85520503. The next prime is 85520521. The reversal of 85520520 is 2502558.

It is not an unprimeable number, because it can be changed into a prime (85520521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (3047850).

Almost surely, 285520520 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 85520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146296800).

85520520 is an abundant number, since it is smaller than the sum of its proper divisors (207073080).

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

85520520 is a wasteful number, since it uses less digits than its factorization.

85520520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 85520520 is about 9247.7305324063. The cubic root of 85520520 is about 440.5786463989.

The spelling of 85520520 in words is "eighty-five million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 12503 25006 37509 50012 62515 75018 100024 112527 125030 150036 187545 225054 237557 250060 300072 375090 450108 475114 500120 562635 712671 750180 900216 950228 1125270 1187785 1425342 1500360 1900456 2138013 2250540 2375570 2850684 3563355 4276026 4501080 4751140 5701368 7126710 8552052 9502280 10690065 14253420 17104104 21380130 28506840 42760260 85520520