Search a number
-
+
18014528 = 26779509
BaseRepresentation
bin100010010111…
…0000101000000
31020220020021202
41010232011000
514102431103
61442040332
7306056330
oct104560500
936806252
1018014528
11a194644
1260490a8
1339697ac
14256d0c0
1518ac988
hex112e140

18014528 has 56 divisors (see below), whose sum is σ = 41452800. Its totient is φ = 7607808.

The previous prime is 18014501. The next prime is 18014533. The reversal of 18014528 is 82541081.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 18014528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35138 + ... + 35646.

Almost surely, 218014528 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 18014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20726400).

18014528 is an abundant number, since it is smaller than the sum of its proper divisors (23438272).

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

18014528 is an equidigital number, since it uses as much as digits as its factorization.

18014528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 18014528 is about 4244.3524830061. The cubic root of 18014528 is about 262.1446281102.

The spelling of 18014528 in words is "eighteen million, fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 509 553 632 1018 1106 1264 2036 2212 2528 3563 4072 4424 5056 7126 8144 8848 14252 16288 17696 28504 32576 35392 40211 57008 80422 114016 160844 228032 281477 321688 562954 643376 1125908 1286752 2251816 2573504 4503632 9007264 18014528