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85467660 = 223543157211
BaseRepresentation
bin1010001100000…
…10001000001100
312221211012120220
411012002020030
5133334431120
612251511340
72055314565
oct506021014
9187735526
1085467660
1144276133
1224758550
1314925ca5
14b4cb16c
157783b40
hex518220c

85467660 has 96 divisors (see below), whose sum is σ = 247602432. Its totient is φ = 22014720.

The previous prime is 85467659. The next prime is 85467677. The reversal of 85467660 is 6676458.

It is a happy 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, 404955 + ... + 405165.

It is an arithmetic number, because the mean of its divisors is an integer number (2579192).

Almost surely, 285467660 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 85467660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801216).

85467660 is an abundant number, since it is smaller than the sum of its proper divisors (162134772).

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

85467660 is a wasteful number, since it uses less digits than its factorization.

85467660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 85467660 is about 9244.8720921384. The cubic root of 85467660 is about 440.4878542039.

The spelling of 85467660 in words is "eighty-five million, four hundred sixty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 157 172 211 215 258 314 422 430 471 516 628 633 645 785 844 860 942 1055 1266 1290 1570 1884 2110 2355 2532 2580 3140 3165 4220 4710 6330 6751 9073 9420 12660 13502 18146 20253 27004 27219 33127 33755 36292 40506 45365 54438 66254 67510 81012 90730 99381 101265 108876 132508 135020 136095 165635 181460 198762 202530 272190 331270 397524 405060 496905 544380 662540 993810 1424461 1987620 2848922 4273383 5697844 7122305 8546766 14244610 17093532 21366915 28489220 42733830 85467660