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133343232 = 2113111973
BaseRepresentation
bin1111111001010…
…10100000000000
3100021220112112020
413330222200000
5233113440412
621122001440
73206253531
oct774524000
9307815466
10133343232
11692a5820
12387a6280
1321819429
14139d0688
15ba8e18c
hex7f2a800

133343232 has 96 divisors (see below), whose sum is σ = 388009440. Its totient is φ = 40386560.

The previous prime is 133343207. The next prime is 133343233. The reversal of 133343232 is 232343331.

It is a happy number.

133343232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (133343233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66598 + ... + 68570.

It is an arithmetic number, because the mean of its divisors is an integer number (4041765).

Almost surely, 2133343232 is an apocalyptic number.

133343232 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 133343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194004720).

133343232 is an abundant number, since it is smaller than the sum of its proper divisors (254666208).

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

133343232 is a wasteful number, since it uses less digits than its factorization.

133343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1989 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 133343232 is about 11547.4340006774. The cubic root of 133343232 is about 510.8855970189.

Adding to 133343232 its reverse (232343331), we get a palindrome (365686563).

Subtracting 133343232 from its reverse (232343331), we obtain a palindrome (99000099).

The spelling of 133343232 in words is "one hundred thirty-three million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 1973 2048 2112 2816 3072 3946 4224 5632 5919 6144 7892 8448 11264 11838 15784 16896 21703 22528 23676 31568 33792 43406 47352 63136 65109 67584 86812 94704 126272 130218 173624 189408 252544 260436 347248 378816 505088 520872 694496 757632 1010176 1041744 1388992 1515264 2020352 2083488 2777984 3030528 4040704 4166976 5555968 6061056 8333952 11111936 12122112 16667904 22223872 33335808 44447744 66671616 133343232