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103092 = 22311271
BaseRepresentation
bin11001001010110100
312020102020
4121022310
511244332
62113140
7606363
oct311264
9166366
10103092
1170500
124b7b0
1337c02
14297da
152082c
hex192b4

103092 has 36 divisors (see below), whose sum is σ = 268128. Its totient is φ = 30800.

The previous prime is 103091. The next prime is 103093. The reversal of 103092 is 290301.

It is an interprime number because it is at equal distance from previous prime (103091) and next prime (103093).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103092.

It is not an unprimeable number, because it can be changed into a prime (103091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2103092 is an apocalyptic number.

103092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

103092 is an abundant number, since it is smaller than the sum of its proper divisors (165036).

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

103092 is a wasteful number, since it uses less digits than its factorization.

103092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103092 is about 321.0794294252. The cubic root of 103092 is about 46.8894337773.

Adding to 103092 its reverse (290301), we get a palindrome (393393).

The spelling of 103092 in words is "one hundred three thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 363 426 484 726 781 852 1452 1562 2343 3124 4686 8591 9372 17182 25773 34364 51546 103092