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85390740 = 22335315101
BaseRepresentation
bin1010001011011…
…11010110010100
312221200022002000
411011233112110
5133330000430
612250115300
72054544411
oct505572624
9187608060
1085390740
1144223366
122471bb30
13148c9c86
14b4ab108
15776ae60
hex516f594

85390740 has 96 divisors (see below), whose sum is σ = 274283520. Its totient is φ = 22032000.

The previous prime is 85390729. The next prime is 85390757. The reversal of 85390740 is 4709358.

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

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 85390695 and 85390704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14190 + ... + 19290.

It is an arithmetic number, because the mean of its divisors is an integer number (2857120).

Almost surely, 285390740 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 85390740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137141760).

85390740 is an abundant number, since it is smaller than the sum of its proper divisors (188892780).

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

85390740 is a wasteful number, since it uses less digits than its factorization.

85390740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85390740 is about 9240.7110116051. The cubic root of 85390740 is about 440.3556697206.

The spelling of 85390740 in words is "eighty-five million, three hundred ninety thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5101 5580 8370 10202 15303 16740 20404 25505 30606 45909 51010 61212 76515 91818 102020 137727 153030 158131 183636 229545 275454 306060 316262 459090 474393 550908 632524 688635 790655 918180 948786 1377270 1423179 1581310 1897572 2371965 2754540 2846358 3162620 4269537 4743930 5692716 7115895 8539074 9487860 14231790 17078148 21347685 28463580 42695370 85390740