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133230432 = 2531973043
BaseRepresentation
bin1111111000011…
…10111101100000
3100021200210210110
413330032331200
5233101333212
621115331320
73205303626
oct774167540
9307623713
10133230432
1169228aa5
1238750b40
13217a9c9a
14139a1516
15ba6aa3c
hex7f0ef60

133230432 has 48 divisors (see below), whose sum is σ = 368141760. Its totient is φ = 42072192.

The previous prime is 133230407. The next prime is 133230463. The reversal of 133230432 is 234032331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 133230399 and 133230408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34698 + ... + 38345.

It is an arithmetic number, because the mean of its divisors is an integer number (7669620).

Almost surely, 2133230432 is an apocalyptic number.

133230432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133230432 is an abundant number, since it is smaller than the sum of its proper divisors (234911328).

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

133230432 is a wasteful number, since it uses less digits than its factorization.

133230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73075 (or 73067 counting only the distinct ones).

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

The square root of 133230432 is about 11542.5487653291. The cubic root of 133230432 is about 510.7414973348.

Adding to 133230432 its reverse (234032331), we get a palindrome (367262763).

The spelling of 133230432 in words is "one hundred thirty-three million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 73043 146086 219129 292172 438258 584344 876516 1168688 1387817 1753032 2337376 2775634 3506064 4163451 5551268 7012128 8326902 11102536 16653804 22205072 33307608 44410144 66615216 133230432