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132423000 = 23353371193
BaseRepresentation
bin1111110010010…
…01110101011000
3100020011210012120
413321021311120
5232400014000
621050141240
73165401613
oct771116530
9306153176
10132423000
11688273a6
1238421820
1321586608
141383117a
15b95b6a0
hex7e49d58

132423000 has 128 divisors (see below), whose sum is σ = 424681920. Its totient is φ = 34329600.

The previous prime is 132422999. The next prime is 132423007. The reversal of 132423000 is 324231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132423007) 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, 110404 + ... + 111596.

Almost surely, 2132423000 is an apocalyptic number.

132423000 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 132423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212340960).

132423000 is an abundant number, since it is smaller than the sum of its proper divisors (292258920).

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

132423000 is a wasteful number, since it uses less digits than its factorization.

132423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132423000 is about 11507.5192808876. The cubic root of 132423000 is about 509.7076371224.

Adding to 132423000 its reverse (324231), we get a palindrome (132747231).

The spelling of 132423000 in words is "one hundred thirty-two million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1193 1480 1500 1850 2220 2386 2775 3000 3579 3700 4440 4625 4772 5550 5965 7158 7400 9250 9544 11100 11930 13875 14316 17895 18500 22200 23860 27750 28632 29825 35790 37000 44141 47720 55500 59650 71580 88282 89475 111000 119300 132423 143160 149125 176564 178950 220705 238600 264846 298250 353128 357900 441410 447375 529692 596500 662115 715800 882820 894750 1059384 1103525 1193000 1324230 1765640 1789500 2207050 2648460 3310575 3579000 4414100 5296920 5517625 6621150 8828200 11035250 13242300 16552875 22070500 26484600 33105750 44141000 66211500 132423000