Search a number
-
+
87009138 = 23223732879
BaseRepresentation
bin1010010111110…
…10011101110010
320001201112002200
411023322131302
5134233243023
612344524030
72104364646
oct513723562
9201645080
1087009138
1145129287
1225180616
13150457c8
14b7acc26
15798a743
hex52fa772

87009138 has 48 divisors (see below), whose sum is σ = 199480320. Its totient is φ = 27352512.

The previous prime is 87009127. The next prime is 87009191. The reversal of 87009138 is 83190078.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28783 + ... + 31661.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 287009138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87009138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99740160).

87009138 is an abundant number, since it is smaller than the sum of its proper divisors (112471182).

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

87009138 is a wasteful number, since it uses less digits than its factorization.

87009138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 87009138 is about 9327.8688884439. The cubic root of 87009138 is about 443.1202753861.

The spelling of 87009138 in words is "eighty-seven million, nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 657 1314 1679 2879 3358 5037 5758 8637 10074 15111 17274 25911 30222 51822 66217 132434 198651 210167 397302 420334 595953 630501 1191906 1261002 1891503 3783006 4833841 9667682 14501523 29003046 43504569 87009138