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132230124 = 223313531777
BaseRepresentation
bin1111110000110…
…10101111101100
3100012210222122000
413320122233230
5232322330444
621042052300
73163636365
oct770325754
9305728560
10132230124
11687054a4
123834a090
13215198a0
14137c0b6c
15b91e469
hex7e1abec

132230124 has 96 divisors (see below), whose sum is σ = 376367040. Its totient is φ = 39896064.

The previous prime is 132230123. The next prime is 132230173. The reversal of 132230124 is 421032231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132230097 and 132230106.

It is not an unprimeable number, because it can be changed into a prime (132230123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73524 + ... + 75300.

It is an arithmetic number, because the mean of its divisors is an integer number (3920490).

Almost surely, 2132230124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132230124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188183520).

132230124 is an abundant number, since it is smaller than the sum of its proper divisors (244136916).

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

132230124 is a wasteful number, since it uses less digits than its factorization.

132230124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132230124 is about 11499.1357936151. The cubic root of 132230124 is about 509.4600513832.

Adding to 132230124 its reverse (421032231), we get a palindrome (553262355).

The spelling of 132230124 in words is "one hundred thirty-two million, two hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 318 351 468 477 636 689 702 954 1378 1404 1431 1777 1908 2067 2756 2862 3554 4134 5331 5724 6201 7108 8268 10662 12402 15993 18603 21324 23101 24804 31986 37206 46202 47979 63972 69303 74412 92404 94181 95958 138606 188362 191916 207909 277212 282543 376724 415818 565086 623727 831636 847629 1130172 1224353 1247454 1695258 2448706 2494908 2542887 3390516 3673059 4897412 5085774 7346118 10171548 11019177 14692236 22038354 33057531 44076708 66115062 132230124