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85530280 = 23511296703
BaseRepresentation
bin1010001100100…
…01011010101000
312221221101111011
411012101122220
5133343432110
612253113304
72055665263
oct506213250
9187841434
1085530280
1144309190
1224788834
1314948644
14b505cda
15779748a
hex51916a8

85530280 has 64 divisors (see below), whose sum is σ = 217209600. Its totient is φ = 30024960.

The previous prime is 85530259. The next prime is 85530299. The reversal of 85530280 is 8203558.

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 15 ways as a sum of consecutive naturals, for example, 9409 + ... + 16111.

It is an arithmetic number, because the mean of its divisors is an integer number (3393900).

Almost surely, 285530280 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 85530280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108604800).

85530280 is an abundant number, since it is smaller than the sum of its proper divisors (131679320).

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

85530280 is a wasteful number, since it uses less digits than its factorization.

85530280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 85530280 is about 9248.2582143883. The cubic root of 85530280 is about 440.5954060569.

The spelling of 85530280 in words is "eighty-five million, five hundred thirty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 6703 12760 13406 26812 33515 53624 67030 73733 134060 147466 194387 268120 294932 368665 388774 589864 737330 777548 971935 1474660 1555096 1943870 2138257 2949320 3887740 4276514 7775480 8553028 10691285 17106056 21382570 42765140 85530280