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18214956 = 2234173307
BaseRepresentation
bin100010101111…
…1000000101100
31021021102020000
41011133000230
514130334311
61450224300
7310552554
oct105370054
937242200
1018214956
11a311191
126125090
133a09aa6
1425c2164
1518ec056
hex115f02c

18214956 has 60 divisors (see below), whose sum is σ = 50433768. Its totient is φ = 5712768.

The previous prime is 18214943. The next prime is 18214957. The reversal of 18214956 is 65941281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18214956.

It is not an unprimeable number, because it can be changed into a prime (18214957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3855 + ... + 7161.

Almost surely, 218214956 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 18214956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25216884).

18214956 is an abundant number, since it is smaller than the sum of its proper divisors (32218812).

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

18214956 is a wasteful number, since it uses less digits than its factorization.

18214956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3329 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 18214956 is about 4267.8983118158. The cubic root of 18214956 is about 263.1132437956.

It can be divided in two parts, 1821 and 4956, that multiplied together give a triangular number (9024876 = T4248).

The spelling of 18214956 in words is "eighteen million, two hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 3307 5508 6614 9921 13228 19842 29763 39684 56219 59526 89289 112438 119052 168657 178578 224876 267867 337314 357156 505971 535734 674628 1011942 1071468 1517913 2023884 3035826 4553739 6071652 9107478 18214956