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18127728 = 2432125887
BaseRepresentation
bin100010100100…
…1101101110000
31021002222120100
41011021231300
514120041403
61444312400
7310040343
oct105115560
937088510
1018127728
11a2616a3
1260a2700
1339a9188
14259c45a
1518d12a3
hex1149b70

18127728 has 30 divisors (see below), whose sum is σ = 50732864. Its totient is φ = 6042528.

The previous prime is 18127727. The next prime is 18127741. The reversal of 18127728 is 82772181.

It is a happy number.

It is a super-2 number, since 2×181277282 = 657229044883968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 18127692 and 18127701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18127723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62800 + ... + 63087.

Almost surely, 218127728 is an apocalyptic number.

18127728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18127728 is an abundant number, since it is smaller than the sum of its proper divisors (32605136).

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

18127728 is a wasteful number, since it uses less digits than its factorization.

18127728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125901 (or 125892 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 18127728 is about 4257.6669667789. Note that the first 3 decimals coincide. The cubic root of 18127728 is about 262.6925716189.

The spelling of 18127728 in words is "eighteen million, one hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 125887 251774 377661 503548 755322 1007096 1132983 1510644 2014192 2265966 3021288 4531932 6042576 9063864 18127728