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85160180 = 2257976271
BaseRepresentation
bin1010001001101…
…11000011110100
312221020120210202
411010313003310
5133300111210
612241140032
72052564260
oct504670364
9187216722
1085160180
1144086116
122462a618
1314849051
14b44b0a0
1577229a5
hex51370f4

85160180 has 48 divisors (see below), whose sum is σ = 206524416. Its totient is φ = 28892160.

The previous prime is 85160177. The next prime is 85160219. The reversal of 85160180 is 8106158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10445 + ... + 16715.

It is an arithmetic number, because the mean of its divisors is an integer number (4302592).

Almost surely, 285160180 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 85160180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103262208).

85160180 is an abundant number, since it is smaller than the sum of its proper divisors (121364236).

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

85160180 is a wasteful number, since it uses less digits than its factorization.

85160180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 85160180 is about 9228.2273487382. The cubic root of 85160180 is about 439.9589837799.

The spelling of 85160180 in words is "eighty-five million, one hundred sixty thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6271 6790 12542 13580 25084 31355 43897 62710 87794 125420 175588 219485 438970 608287 877940 1216574 2433148 3041435 4258009 6082870 8516018 12165740 17032036 21290045 42580090 85160180