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85521120 = 2535178169
BaseRepresentation
bin1010001100011…
…11001011100000
312221220220220220
411012033023200
5133343133440
612253003040
72055626466
oct506171340
9187826826
1085521120
1144302313
1224783480
1314944419
14b502836
1577948d0
hex518f2e0

85521120 has 48 divisors (see below), whose sum is σ = 269393040. Its totient is φ = 22805504.

The previous prime is 85521113. The next prime is 85521127. The reversal of 85521120 is 2112558.

It is an interprime number because it is at equal distance from previous prime (85521113) and next prime (85521127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85521127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88605 + ... + 89564.

It is an arithmetic number, because the mean of its divisors is an integer number (5612355).

Almost surely, 285521120 is an apocalyptic number.

85521120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85521120 is an abundant number, since it is smaller than the sum of its proper divisors (183871920).

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

85521120 is a wasteful number, since it uses less digits than its factorization.

85521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178187 (or 178179 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 85521120 is about 9247.7629727410. The cubic root of 85521120 is about 440.5796767425.

Adding to 85521120 its reverse (2112558), we get a palindrome (87633678).

The spelling of 85521120 in words is "eighty-five million, five hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 178169 356338 534507 712676 890845 1069014 1425352 1781690 2138028 2672535 2850704 3563380 4276056 5345070 5701408 7126760 8552112 10690140 14253520 17104224 21380280 28507040 42760560 85521120