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86150070 = 232543113197
BaseRepresentation
bin1010010001010…
…00101110110110
320000002212200100
411020220232312
5134023300240
612314254530
72064156246
oct510505666
9200085610
1086150070
11446a1906
1224a27446
1314b04796
14b627b26
15786ae30
hex5228bb6

86150070 has 96 divisors (see below), whose sum is σ = 232401312. Its totient is φ = 22127616.

The previous prime is 86150063. The next prime is 86150081. The reversal of 86150070 is 7005168.

It is a super-2 number, since 2×861500702 = 14843669122009800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 437212 + ... + 437408.

It is an arithmetic number, because the mean of its divisors is an integer number (2420847).

Almost surely, 286150070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86150070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116200656).

86150070 is an abundant number, since it is smaller than the sum of its proper divisors (146251242).

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

86150070 is a wasteful number, since it uses less digits than its factorization.

86150070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 86150070 is about 9281.7062009094. The cubic root of 86150070 is about 441.6570950024.

The spelling of 86150070 in words is "eighty-six million, one hundred fifty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 113 129 197 215 226 258 339 387 394 430 565 591 645 678 774 985 1017 1130 1182 1290 1695 1773 1935 1970 2034 2955 3390 3546 3870 4859 5085 5910 8471 8865 9718 10170 14577 16942 17730 22261 24295 25413 29154 42355 43731 44522 48590 50826 66783 72885 76239 84710 87462 111305 127065 133566 145770 152478 200349 218655 222610 254130 333915 381195 400698 437310 667830 762390 957223 1001745 1914446 2003490 2871669 4786115 5743338 8615007 9572230 14358345 17230014 28716690 43075035 86150070