Search a number
-
+
108606540 = 223572174153
BaseRepresentation
bin1100111100100…
…11010001001100
321120100210011110
412132103101030
5210300402130
614435452020
72456066100
oct636232114
9246323143
10108606540
115633a779
1230457010
1319668033
14105d1900
159804ab0
hex679344c

108606540 has 288 divisors, whose sum is σ = 390930624. Its totient is φ = 22364160.

The previous prime is 108606517. The next prime is 108606541. The reversal of 108606540 is 45606801.

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 = 108606498 and 108606507.

It is not an unprimeable number, because it can be changed into a prime (108606541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2049154 + ... + 2049206.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398).

Almost surely, 2108606540 is an apocalyptic number.

108606540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108606540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195465312).

108606540 is an abundant number, since it is smaller than the sum of its proper divisors (282324084).

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

108606540 is a wasteful number, since it uses less digits than its factorization.

108606540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 108606540 is about 10421.4461568441. The cubic root of 108606540 is about 477.1101539219.

The spelling of 108606540 in words is "one hundred eight million, six hundred six thousand, five hundred forty".