Search a number
-
+
86874680 = 23523891061
BaseRepresentation
bin1010010110110…
…01101000111000
320001110200122202
411023121220320
5134214442210
612342005332
72103264644
oct513315070
9201420582
1086874680
1145047262
1225116848
1314cc9549
14b775c24
1579609a5
hex52d9a38

86874680 has 64 divisors (see below), whose sum is σ = 206452800. Its totient is φ = 32834560.

The previous prime is 86874673. The next prime is 86874701. The reversal of 86874680 is 8647868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 81350 + ... + 82410.

It is an arithmetic number, because the mean of its divisors is an integer number (3225825).

Almost surely, 286874680 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 86874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103226400).

86874680 is an abundant number, since it is smaller than the sum of its proper divisors (119578120).

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

86874680 is a wasteful number, since it uses less digits than its factorization.

86874680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 86874680 is about 9320.6587750008. The cubic root of 86874680 is about 442.8919017364.

The spelling of 86874680 in words is "eighty-six million, eight hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 89 92 115 178 184 230 356 445 460 712 890 920 1061 1780 2047 2122 3560 4094 4244 5305 8188 8488 10235 10610 16376 20470 21220 24403 40940 42440 48806 81880 94429 97612 122015 188858 195224 244030 377716 472145 488060 755432 944290 976120 1888580 2171867 3777160 4343734 8687468 10859335 17374936 21718670 43437340 86874680