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7212 = 223601
BaseRepresentation
bin1110000101100
3100220010
41300230
5212322
653220
730012
oct16054
910803
107212
115467
124210
13338a
1428b2
15220c
hex1c2c

7212 has 12 divisors (see below), whose sum is σ = 16856. Its totient is φ = 2400.

The previous prime is 7211. The next prime is 7213. The reversal of 7212 is 2127.

It is an interprime number because it is at equal distance from previous prime (7211) and next prime (7213).

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

It is a hoax number, since the sum of its digits (12) 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 (12), and also a Moran number because the ratio is a prime number: 601 = 7212 / (7 + 2 + 1 + 2).

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

It is a plaindrome in base 13.

It is a nialpdrome in base 6 and base 12.

It is not an unprimeable number, because it can be changed into a prime (7211) 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, 289 + ... + 312.

27212 is an apocalyptic number.

It is an amenable number.

7212 is an abundant number, since it is smaller than the sum of its proper divisors (9644).

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 (8428).

7212 is a wasteful number, since it uses less digits than its factorization.

7212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its digits is 28, while the sum is 12.

The square root of 7212 is about 84.9234949822. The cubic root of 7212 is about 19.3205093976.

Adding to 7212 its reverse (2127), we get a palindrome (9339).

The spelling of 7212 in words is "seven thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 601 1202 1803 2404 3606 7212