Search a number
-
+
87078260 = 225411031031
BaseRepresentation
bin1010011000010…
…11010101110100
320001212000220202
411030023111310
5134243001020
612350220032
72105103323
oct514132564
9201760822
1087078260
1145176205
12251b4618
131506b0c9
14b7ca0ba
1579a0e75
hex530b574

87078260 has 48 divisors (see below), whose sum is σ = 189326592. Its totient is φ = 33619200.

The previous prime is 87078241. The next prime is 87078281. The reversal of 87078260 is 6287078.

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, 83945 + ... + 84975.

It is an arithmetic number, because the mean of its divisors is an integer number (3944304).

Almost surely, 287078260 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 87078260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94663296).

87078260 is an abundant number, since it is smaller than the sum of its proper divisors (102248332).

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

87078260 is a wasteful number, since it uses less digits than its factorization.

87078260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 87078260 is about 9331.5732864293. The cubic root of 87078260 is about 443.2375858704.

The spelling of 87078260 in words is "eighty-seven million, seventy-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 103 164 205 206 410 412 515 820 1030 1031 2060 2062 4124 4223 5155 8446 10310 16892 20620 21115 42230 42271 84460 84542 106193 169084 211355 212386 422710 424772 530965 845420 1061930 2123860 4353913 8707826 17415652 21769565 43539130 87078260