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18905328 = 24321310099
BaseRepresentation
bin100100000011…
…1100011110000
31022120111020100
41020013203300
514314432303
61513112400
7316456401
oct110074360
938514210
1018905328
11a742942
1263b8700
133bbc0b0
1427219a8
1519d68a3
hex12078f0

18905328 has 60 divisors (see below), whose sum is σ = 56984200. Its totient is φ = 5816448.

The previous prime is 18905317. The next prime is 18905329. The reversal of 18905328 is 82350981.

It is a super-2 number, since 2×189053282 = 714822853575168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 18905292 and 18905301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18905329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3178 + ... + 6921.

Almost surely, 218905328 is an apocalyptic number.

18905328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18905328 is an abundant number, since it is smaller than the sum of its proper divisors (38078872).

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

18905328 is a wasteful number, since it uses less digits than its factorization.

18905328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10117 counting only the distinct ones).

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

The square root of 18905328 is about 4348.0257588933. The cubic root of 18905328 is about 266.3962286077.

It can be divided in two parts, 1890532 and 8, that added together give a triangular number (1890540 = T1944).

The spelling of 18905328 in words is "eighteen million, nine hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 10099 20198 30297 40396 60594 80792 90891 121188 131287 161584 181782 242376 262574 363564 393861 484752 525148 727128 787722 1050296 1181583 1454256 1575444 2100592 2363166 3150888 4726332 6301776 9452664 18905328