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10044 = 223431
BaseRepresentation
bin10011100111100
3111210000
42130330
5310134
6114300
741166
oct23474
914700
1010044
117601
125990
134758
143936
152e99
hex273c

10044 has 30 divisors (see below), whose sum is σ = 27104. Its totient is φ = 3240.

The previous prime is 10039. The next prime is 10061. The reversal of 10044 is 44001.

10044 = 123 + 133 + ... + 153.

It is a hoax number, since the sum of its digits (9) 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 (9).

It is a congruent number.

It is an unprimeable number.

10044 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 309 + ... + 339.

210044 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 10044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552).

10044 is an abundant number, since it is smaller than the sum of its proper divisors (17060).

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

10044 is a wasteful number, since it uses less digits than its factorization.

10044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10044 is about 100.2197585309. The cubic root of 10044 is about 21.5758990444.

Adding to 10044 its reverse (44001), we get a palindrome (54045).

It can be divided in two parts, 100 and 44, that added together give a square (144 = 122).

The spelling of 10044 in words is "ten thousand, forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044