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85685080 = 23513414019
BaseRepresentation
bin1010001101101…
…11001101011000
312222020020211111
411012313031120
5133413410310
612300310104
72060211505
oct506671530
9188206744
1085685080
1144404518
1224842334
13149a0c40
14b5464ac
1577c828a
hex51b7358

85685080 has 64 divisors (see below), whose sum is σ = 212738400. Its totient is φ = 30858240.

The previous prime is 85685069. The next prime is 85685099. The reversal of 85685080 is 8058658.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19311 + ... + 23329.

Almost surely, 285685080 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 85685080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106369200).

85685080 is an abundant number, since it is smaller than the sum of its proper divisors (127053320).

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

85685080 is a wasteful number, since it uses less digits than its factorization.

85685080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 85685080 is about 9256.6235745006. The cubic root of 85685080 is about 440.8610549123.

The spelling of 85685080 in words is "eighty-five million, six hundred eighty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4019 4264 5330 8038 10660 16076 20095 21320 32152 40190 52247 80380 104494 160760 164779 208988 261235 329558 417976 522470 659116 823895 1044940 1318232 1647790 2089880 2142127 3295580 4284254 6591160 8568508 10710635 17137016 21421270 42842540 85685080