Search a number
-
+
87105540 = 22351451759
BaseRepresentation
bin1010011000100…
…10000000000100
320001220102100010
411030102000010
5134244334130
612350550220
72105246004
oct514220004
9201812303
1087105540
1145194755
1225208370
131507a652
14b7d6004
1579a90b0
hex5312004

87105540 has 24 divisors (see below), whose sum is σ = 243895680. Its totient is φ = 23228128.

The previous prime is 87105533. The next prime is 87105541. The reversal of 87105540 is 4550178.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87105498 and 87105507.

It is not an unprimeable number, because it can be changed into a prime (87105541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 725820 + ... + 725939.

It is an arithmetic number, because the mean of its divisors is an integer number (10162320).

Almost surely, 287105540 is an apocalyptic number.

It is an amenable number.

87105540 is an abundant number, since it is smaller than the sum of its proper divisors (156790140).

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

87105540 is a wasteful number, since it uses less digits than its factorization.

87105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451771 (or 1451769 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 87105540 is about 9333.0348761804. The cubic root of 87105540 is about 443.2838670696.

The spelling of 87105540 in words is "eighty-seven million, one hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1451759 2903518 4355277 5807036 7258795 8710554 14517590 17421108 21776385 29035180 43552770 87105540