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18126064 = 2411181569
BaseRepresentation
bin100010100100…
…1010011110000
31021002220021201
41011021103300
514120013224
61444300544
7310032445
oct105112360
937086251
1018126064
11a260420
1260a1754
1339a84a8
14259b9cc
1518d0a44
hex11494f0

18126064 has 40 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 8179200.

The previous prime is 18126061. The next prime is 18126079. The reversal of 18126064 is 46062181.

It is a super-2 number, since 2×181260642 = 657108392264192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18126061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31572 + ... + 32140.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 218126064 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 18126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

18126064 is an abundant number, since it is smaller than the sum of its proper divisors (20465216).

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

18126064 is a wasteful number, since it uses less digits than its factorization.

18126064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 18126064 is about 4257.4715501105. The cubic root of 18126064 is about 262.6845335861.

It can be divided in two parts, 181 and 26064, that multiplied together give a square (4717584 = 21722).

The spelling of 18126064 in words is "eighteen million, one hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 181 362 569 724 1138 1448 1991 2276 2896 3982 4552 6259 7964 9104 12518 15928 25036 31856 50072 100144 102989 205978 411956 823912 1132879 1647824 2265758 4531516 9063032 18126064