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133424460 = 2232513193001
BaseRepresentation
bin1111111001111…
…10010101001100
3100022001122221200
413330332111030
5233124040320
621123425500
73210042411
oct774762514
9308048850
10133424460
1169350854
1238825290
13218473b0
1413a12108
15baa8290
hex7f3e54c

133424460 has 144 divisors (see below), whose sum is σ = 458945760. Its totient is φ = 31104000.

The previous prime is 133424419. The next prime is 133424461. The reversal of 133424460 is 64424331.

It is not an unprimeable number, because it can be changed into a prime (133424461) 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 47 ways as a sum of consecutive naturals, for example, 42960 + ... + 45960.

Almost surely, 2133424460 is an apocalyptic number.

133424460 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 133424460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229472880).

133424460 is an abundant number, since it is smaller than the sum of its proper divisors (325521300).

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

133424460 is a wasteful number, since it uses less digits than its factorization.

133424460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 133424460 is about 11550.9506102312. The cubic root of 133424460 is about 510.9893137983.

Adding to 133424460 its reverse (64424331), we get a palindrome (197848791).

The spelling of 133424460 in words is "one hundred thirty-three million, four hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3001 3420 3705 4446 4940 6002 7410 8892 9003 11115 12004 14820 15005 18006 22230 27009 30010 36012 39013 44460 45015 54018 57019 60020 78026 90030 108036 114038 117039 135045 156052 171057 180060 195065 228076 234078 270090 285095 342114 351117 390130 468156 513171 540180 570190 585195 684228 702234 741247 780260 855285 1026342 1140380 1170390 1404468 1482494 1710570 1755585 2052684 2223741 2340780 2565855 2964988 3421140 3511170 3706235 4447482 5131710 6671223 7022340 7412470 8894964 10263420 11118705 13342446 14824940 22237410 26684892 33356115 44474820 66712230 133424460