Search a number
-
+
18001896 = 2331126199
BaseRepresentation
bin100010010101…
…0111111101000
31020212120221220
41010222333220
514102030041
61441502040
7306004443
oct104527750
936776856
1018001896
11a186100
126041920
133963b13
14256865a
1518a8d66
hex112afe8

18001896 has 48 divisors (see below), whose sum is σ = 49476000. Its totient is φ = 5454240.

The previous prime is 18001891. The next prime is 18001901. The reversal of 18001896 is 69810081.

It is an interprime number because it is at equal distance from previous prime (18001891) and next prime (18001901).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (18001891) 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 11 ways as a sum of consecutive naturals, for example, 196 + ... + 6003.

It is an arithmetic number, because the mean of its divisors is an integer number (1030750).

Almost surely, 218001896 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 18001896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738000).

18001896 is an abundant number, since it is smaller than the sum of its proper divisors (31474104).

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

18001896 is a wasteful number, since it uses less digits than its factorization.

18001896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 18001896 is about 4242.8641269784. The cubic root of 18001896 is about 262.0833408121.

The spelling of 18001896 in words is "eighteen million, one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 6199 12398 18597 24796 37194 49592 68189 74388 136378 148776 204567 272756 409134 545512 750079 818268 1500158 1636536 2250237 3000316 4500474 6000632 9000948 18001896