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85093710 = 23513375897
BaseRepresentation
bin1010001001001…
…10110101001110
312221010012121220
411010212311032
5133240444320
612235504210
72052166422
oct504466516
9187105556
1085093710
1144040189
12245b8066
1314824a10
14b430b82
15770ce40
hex5126d4e

85093710 has 64 divisors (see below), whose sum is σ = 225916992. Its totient is φ = 20376576.

The previous prime is 85093709. The next prime is 85093717. The reversal of 85093710 is 1739058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85093717) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11482 + ... + 17378.

It is an arithmetic number, because the mean of its divisors is an integer number (3529953).

Almost surely, 285093710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85093710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112958496).

85093710 is an abundant number, since it is smaller than the sum of its proper divisors (140823282).

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

85093710 is a wasteful number, since it uses less digits than its factorization.

85093710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 85093710 is about 9224.6251956380. The cubic root of 85093710 is about 439.8444870532.

The spelling of 85093710 in words is "eighty-five million, ninety-three thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4810 5897 7215 11794 14430 17691 29485 35382 58970 76661 88455 153322 176910 218189 229983 383305 436378 459966 654567 766610 1090945 1149915 1309134 2181890 2299830 2836457 3272835 5672914 6545670 8509371 14182285 17018742 28364570 42546855 85093710