Search a number
-
+
18180072 = 2333174951
BaseRepresentation
bin100010101011…
…0011111101000
31021012122101000
41011112133220
514123230242
61445355000
7310346061
oct105263750
937178330
1018180072
11a297a59
126108a60
1339c6c51
1425b3568
1518e1a4c
hex11567e8

18180072 has 64 divisors (see below), whose sum is σ = 53481600. Its totient is φ = 5702400.

The previous prime is 18180059. The next prime is 18180073. The reversal of 18180072 is 27008181.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18180073) 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, 1197 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (835650).

Almost surely, 218180072 is an apocalyptic number.

18180072 is a gapful number since it is divisible by the number (12) 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 18180072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26740800).

18180072 is an abundant number, since it is smaller than the sum of its proper divisors (35301528).

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

18180072 is a wasteful number, since it uses less digits than its factorization.

18180072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 18180072 is about 4263.8095642277. The cubic root of 18180072 is about 262.9451711425.

The spelling of 18180072 in words is "eighteen million, one hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 4951 9902 14853 19804 29706 39608 44559 59412 84167 89118 118824 133677 168334 178236 252501 267354 336668 356472 505002 534708 673336 757503 1010004 1069416 1515006 2020008 2272509 3030012 4545018 6060024 9090036 18180072