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9012 = 223751
BaseRepresentation
bin10001100110100
3110100210
42030310
5242022
6105420
735163
oct21464
913323
109012
116853
125270
134143
1433da
152a0c
hex2334

9012 has 12 divisors (see below), whose sum is σ = 21056. Its totient is φ = 3000.

The previous prime is 9011. The next prime is 9013. The reversal of 9012 is 2109.

Subtracting from 9012 its reverse (2109), we obtain a triangular number (6903 = T117).

It can be divided in two parts, 901 and 2, that added together give a triangular number (903 = T42).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9011) and next prime (9013).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×90122 = 162432288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 751 = 9012 / (9 + 0 + 1 + 2).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364 + ... + 387.

29012 is an apocalyptic number.

It is an amenable number.

9012 is an abundant number, since it is smaller than the sum of its proper divisors (12044).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528).

9012 is a wasteful number, since it uses less digits than its factorization.

9012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 9012 is about 94.9315542904. The cubic root of 9012 is about 20.8100789417.

The spelling of 9012 in words is "nine thousand, twelve".

Divisors: 1 2 3 4 6 12 751 1502 2253 3004 4506 9012