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112530 = 23511231
BaseRepresentation
bin11011011110010010
312201100210
4123132102
512100110
62224550
7646035
oct333622
9181323
10112530
1177600
1255156
133c2b2
142d01c
1523520
hex1b792

112530 has 48 divisors (see below), whose sum is σ = 306432. Its totient is φ = 26400.

The previous prime is 112507. The next prime is 112543. The reversal of 112530 is 35211.

It is a Curzon number.

It is a nialpdrome in base 11.

It is an unprimeable number.

112530 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 23 ways as a sum of consecutive naturals, for example, 3615 + ... + 3645.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2112530 is an apocalyptic number.

112530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216).

112530 is an abundant number, since it is smaller than the sum of its proper divisors (193902).

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

112530 is a wasteful number, since it uses less digits than its factorization.

112530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 112530 is about 335.4549150035. The cubic root of 112530 is about 48.2787599128.

Adding to 112530 its reverse (35211), we get a palindrome (147741).

The spelling of 112530 in words is "one hundred twelve thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 3410 3630 3751 5115 7502 10230 11253 18755 22506 37510 56265 112530