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85673070 = 23257219427
BaseRepresentation
bin1010001101101…
…00010001101110
312222012122100200
411012310101232
5133413014240
612300134330
72060131500
oct506642156
9188178320
1085673070
11443a649a
12248373a6
1314998632
14b541d70
1577c4930
hex51b446e

85673070 has 72 divisors (see below), whose sum is σ = 259130664. Its totient is φ = 19581408.

The previous prime is 85673059. The next prime is 85673111. The reversal of 85673070 is 7037658.

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 5304 + ... + 14123.

It is an arithmetic number, because the mean of its divisors is an integer number (3599037).

Almost surely, 285673070 is an apocalyptic number.

85673070 is an abundant number, since it is smaller than the sum of its proper divisors (173457594).

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

85673070 is a wasteful number, since it uses less digits than its factorization.

85673070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19454 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 85673070 is about 9255.9748271049. The cubic root of 85673070 is about 440.8404562711.

The spelling of 85673070 in words is "eighty-five million, six hundred seventy-three thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 19427 38854 58281 97135 116562 135989 174843 194270 271978 291405 349686 407967 582810 679945 815934 874215 951923 1223901 1359890 1748430 1903846 2039835 2447802 2855769 4079670 4759615 5711538 6119505 8567307 9519230 12239010 14278845 17134614 28557690 42836535 85673070