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10074 = 232373
BaseRepresentation
bin10011101011010
3111211010
42131122
5310244
6114350
741241
oct23532
914733
1010074
117629
1259b6
13477c
143958
152eb9
hex275a

10074 has 16 divisors (see below), whose sum is σ = 21312. Its totient is φ = 3168.

The previous prime is 10069. The next prime is 10079. The reversal of 10074 is 47001.

10074 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (10069) and next prime (10079).

10074 is a modest number, since divided by 74 gives 10 as remainder.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079) by changing a digit.

10074 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 7 ways as a sum of consecutive naturals, for example, 102 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1332).

210074 is an apocalyptic number.

10074 is an abundant number, since it is smaller than the sum of its proper divisors (11238).

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 (10656).

10074 is a wasteful number, since it uses less digits than its factorization.

10074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101.

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

The square root of 10074 is about 100.3693180210. The cubic root of 10074 is about 21.5973590736.

Adding to 10074 its reverse (47001), we get a palindrome (57075).

The spelling of 10074 in words is "ten thousand, seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 23 46 69 73 138 146 219 438 1679 3358 5037 10074