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12142300 = 2252295379
BaseRepresentation
bin101110010100…
…011011011100
3211211220002211
4232110123130
511102023200
61112130204
7205131202
oct56243334
924756084
1012142300
116943765
124096964
1326919c1
141881072
1510ecaba
hexb946dc

12142300 has 72 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4542720.

The previous prime is 12142289. The next prime is 12142331. The reversal of 12142300 is 324121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153661 + ... + 153739.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 212142300 is an apocalyptic number.

12142300 is a gapful number since it is divisible by the number (10) 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 12142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

12142300 is an abundant number, since it is smaller than the sum of its proper divisors (15980900).

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

12142300 is a wasteful number, since it uses less digits than its factorization.

12142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12142300 is about 3484.5803190628. The cubic root of 12142300 is about 229.8442549892.

Adding to 12142300 its reverse (324121), we get a palindrome (12466421).

The spelling of 12142300 in words is "twelve million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 79 100 106 116 145 158 212 265 290 316 395 530 580 725 790 1060 1325 1450 1537 1580 1975 2291 2650 2900 3074 3950 4187 4582 5300 6148 7685 7900 8374 9164 11455 15370 16748 20935 22910 30740 38425 41870 45820 57275 76850 83740 104675 114550 121423 153700 209350 229100 242846 418700 485692 607115 1214230 2428460 3035575 6071150 12142300