Search a number
-
+
110153020 = 225291791061
BaseRepresentation
bin1101001000011…
…00110100111100
321200021100112111
412210030310330
5211144344040
614532543404
72505166555
oct644146474
9250240474
10110153020
11571a665a
1230a81b64
1319a89c03
14108b532c
159a0cdea
hex690cd3c

110153020 has 48 divisors (see below), whose sum is σ = 240861600. Its totient is φ = 42264320.

The previous prime is 110153011. The next prime is 110153023. The reversal of 110153020 is 20351011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110153023) 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 15 ways as a sum of consecutive naturals, for example, 103290 + ... + 104350.

It is an arithmetic number, because the mean of its divisors is an integer number (5017950).

Almost surely, 2110153020 is an apocalyptic number.

110153020 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 110153020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120430800).

110153020 is an abundant number, since it is smaller than the sum of its proper divisors (130708580).

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

110153020 is a wasteful number, since it uses less digits than its factorization.

110153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 110153020 is about 10495.3808887529. The cubic root of 110153020 is about 479.3640594500.

The spelling of 110153020 in words is "one hundred ten million, one hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 179 290 358 580 716 895 1061 1790 2122 3580 4244 5191 5305 10382 10610 20764 21220 25955 30769 51910 61538 103820 123076 153845 189919 307690 379838 615380 759676 949595 1899190 3798380 5507651 11015302 22030604 27538255 55076510 110153020