Search a number
-
+
18756012 = 22311151941
BaseRepresentation
bin100011110001…
…1000110101100
31022021220102010
41013203012230
514300143022
61510001220
7315265152
oct107430654
938256363
1018756012
11a650740
126346210
133b69142
1426c33d2
1519a750c
hex11e31ac

18756012 has 48 divisors (see below), whose sum is σ = 48109824. Its totient is φ = 5640000.

The previous prime is 18755987. The next prime is 18756013. The reversal of 18756012 is 21065781.

It is a super-2 number, since 2×187560122 = 703575972288288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18756013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19462 + ... + 20402.

It is an arithmetic number, because the mean of its divisors is an integer number (1002288).

Almost surely, 218756012 is an apocalyptic number.

18756012 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 18756012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24054912).

18756012 is an abundant number, since it is smaller than the sum of its proper divisors (29353812).

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

18756012 is a wasteful number, since it uses less digits than its factorization.

18756012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 18756012 is about 4330.8211692472. The cubic root of 18756012 is about 265.6930334984.

It can be divided in two parts, 1875 and 6012, that added together give a palindrome (7887).

The spelling of 18756012 in words is "eighteen million, seven hundred fifty-six thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 941 1661 1812 1882 2823 3322 3764 4983 5646 6644 9966 10351 11292 19932 20702 31053 41404 62106 124212 142091 284182 426273 568364 852546 1563001 1705092 3126002 4689003 6252004 9378006 18756012