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132423100 = 22528914879
BaseRepresentation
bin1111110010010…
…01110110111100
3100020011210100021
413321021312330
5232400014400
621050141524
73165402115
oct771116674
9306153307
10132423100
1168827487
12384218a4
1321586684
141383120c
15b95b71a
hex7e49dbc

132423100 has 36 divisors (see below), whose sum is σ = 290606400. Its totient is φ = 52370560.

The previous prime is 132423089. The next prime is 132423107. The reversal of 132423100 is 1324231.

It is a happy number.

It is a super-2 number, since 2×1324231002 = 35071754827220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132423107) 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 11 ways as a sum of consecutive naturals, for example, 1461 + ... + 16339.

It is an arithmetic number, because the mean of its divisors is an integer number (8072400).

Almost surely, 2132423100 is an apocalyptic number.

132423100 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 132423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

132423100 is an abundant number, since it is smaller than the sum of its proper divisors (158183300).

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

132423100 is a wasteful number, since it uses less digits than its factorization.

132423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982 (or 14975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132423100 is about 11507.5236258719. The cubic root of 132423100 is about 509.7077654253.

Adding to 132423100 its reverse (1324231), we get a palindrome (133747331).

Multiplying 132423100 by its reverse (1324231), we get a square (175358774136100 = 132423102).

132423100 divided by its reverse (1324231) gives a square (100 = 102).

The spelling of 132423100 in words is "one hundred thirty-two million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 14879 29758 59516 74395 148790 297580 371975 743950 1324231 1487900 2648462 5296924 6621155 13242310 26484620 33105775 66211550 132423100