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1224132 = 2237131959
BaseRepresentation
bin100101010110111000100
32022012012020
410222313010
5303133012
642123140
713255620
oct4526704
92265166
101224132
11766788
124b04b0
1333b250
1423c180
15192a8c
hex12adc4

1224132 has 96 divisors (see below), whose sum is σ = 3763200. Its totient is φ = 300672.

The previous prime is 1224131. The next prime is 1224133. The reversal of 1224132 is 2314221.

It is an interprime number because it is at equal distance from previous prime (1224131) and next prime (1224133).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20719 + ... + 20777.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

21224132 is an apocalyptic number.

1224132 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 1224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881600).

1224132 is an abundant number, since it is smaller than the sum of its proper divisors (2539068).

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

1224132 is a wasteful number, since it uses less digits than its factorization.

1224132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 1224132 is about 1106.4049891428. The cubic root of 1224132 is about 106.9734699999.

Adding to 1224132 its reverse (2314221), we get a palindrome (3538353).

The spelling of 1224132 in words is "one million, two hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 59 76 78 84 91 114 118 133 156 177 182 228 236 247 266 273 354 364 399 413 494 532 546 708 741 767 798 826 988 1092 1121 1239 1482 1534 1596 1652 1729 2242 2301 2478 2964 3068 3363 3458 4484 4602 4956 5187 5369 6726 6916 7847 9204 10374 10738 13452 14573 15694 16107 20748 21476 23541 29146 31388 32214 43719 47082 58292 64428 87438 94164 102011 174876 204022 306033 408044 612066 1224132