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85385340 = 2235517569
BaseRepresentation
bin1010001011011…
…10000001111100
312221200000200000
411011232001330
5133324312330
612250034300
72054522565
oct505560174
9187600600
1085385340
114421a2a7
1224718990
13148c7691
14b4a916c
157769560
hex516e07c

85385340 has 72 divisors (see below), whose sum is σ = 268610160. Its totient is φ = 22768128.

The previous prime is 85385303. The next prime is 85385347. The reversal of 85385340 is 4358358.

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

It is a junction number, because it is equal to n+sod(n) for n = 85385295 and 85385304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85385347) 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 23 ways as a sum of consecutive naturals, for example, 3925 + ... + 13644.

Almost surely, 285385340 is an apocalyptic number.

It is an amenable number.

85385340 is an abundant number, since it is smaller than the sum of its proper divisors (183224820).

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

85385340 is a wasteful number, since it uses less digits than its factorization.

85385340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17593 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 85385340 is about 9240.4188216769. The cubic root of 85385340 is about 440.3463870172.

The spelling of 85385340 in words is "eighty-five million, three hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 17569 35138 52707 70276 87845 105414 158121 175690 210828 263535 316242 351380 474363 527070 632484 790605 948726 1054140 1423089 1581210 1897452 2371815 2846178 3162420 4269267 4743630 5692356 7115445 8538534 9487260 14230890 17077068 21346335 28461780 42692670 85385340