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133024728 = 233175712
BaseRepresentation
bin1111110110111…
…00101111011000
3100021022100121210
413323130233120
5233023242403
621111103120
73203456124
oct773345730
9307270553
10133024728
11690a84a1
1238671aa0
1321737475
141394a584
15ba29b03
hex7edcbd8

133024728 has 48 divisors (see below), whose sum is σ = 352742040. Its totient is φ = 41660160.

The previous prime is 133024721. The next prime is 133024741. The reversal of 133024728 is 827420331.

It is a junction number, because it is equal to n+sod(n) for n = 133024695 and 133024704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133024721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232683 + ... + 233253.

Almost surely, 2133024728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133024728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176371020).

133024728 is an abundant number, since it is smaller than the sum of its proper divisors (219717312).

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

133024728 is an equidigital number, since it uses as much as digits as its factorization.

133024728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 133024728 is about 11533.6346396095. The cubic root of 133024728 is about 510.4785051527.

The spelling of 133024728 in words is "one hundred thirty-three million, twenty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 571 1142 1713 2284 3426 4568 6852 9707 13704 19414 29121 38828 58242 77656 116484 232968 326041 652082 978123 1304164 1956246 2608328 3912492 5542697 7824984 11085394 16628091 22170788 33256182 44341576 66512364 133024728