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85140396 = 2235117963
BaseRepresentation
bin1010001001100…
…10001110101100
312221012120200000
411010302032230
5133243443041
612240504300
72052452505
oct504621654
9187176600
1085140396
1144072270
122461b090
1314840043
14b443bac
15771bbb6
hex51323ac

85140396 has 72 divisors (see below), whose sum is σ = 243507264. Its totient is φ = 25796880.

The previous prime is 85140371. The next prime is 85140397. The reversal of 85140396 is 69304158.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85140396.

It is not an unprimeable number, because it can be changed into a prime (85140397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6711 + ... + 14673.

Almost surely, 285140396 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 85140396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121753632).

85140396 is an abundant number, since it is smaller than the sum of its proper divisors (158366868).

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

85140396 is a wasteful number, since it uses less digits than its factorization.

85140396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7993 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85140396 is about 9227.1553579638. The cubic root of 85140396 is about 439.9249114288.

The spelling of 85140396 in words is "eighty-five million, one hundred forty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 7963 10692 15926 23889 31852 47778 71667 87593 95556 143334 175186 215001 262779 286668 350372 430002 525558 645003 788337 860004 1051116 1290006 1576674 1935009 2365011 2580012 3153348 3870018 4730022 7095033 7740036 9460044 14190066 21285099 28380132 42570198 85140396