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133023432 = 2336190863
BaseRepresentation
bin1111110110111…
…00011011001000
3100021022021211210
413323130123020
5233023222212
621111053120
73203452263
oct773343310
9307267753
10133023432
11690a7523
12386711a0
13217369b9
1413949cda
15ba2953c
hex7edc6c8

133023432 has 32 divisors (see below), whose sum is σ = 338014080. Its totient is φ = 43613760.

The previous prime is 133023391. The next prime is 133023437. The reversal of 133023432 is 234320331.

133023432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1330234322 = 35390466922117248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133023399 and 133023408.

It is not an unprimeable number, because it can be changed into a prime (133023437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43968 + ... + 46895.

It is an arithmetic number, because the mean of its divisors is an integer number (10562940).

Almost surely, 2133023432 is an apocalyptic number.

133023432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133023432 is an abundant number, since it is smaller than the sum of its proper divisors (204990648).

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

133023432 is a wasteful number, since it uses less digits than its factorization.

133023432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90933 (or 90929 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 133023432 is about 11533.5784559693. The cubic root of 133023432 is about 510.4768473599.

Adding to 133023432 its reverse (234320331), we get a palindrome (367343763).

The spelling of 133023432 in words is "one hundred thirty-three million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 90863 181726 272589 363452 545178 726904 1090356 2180712 5542643 11085286 16627929 22170572 33255858 44341144 66511716 133023432