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133405830 = 23252935059
BaseRepresentation
bin1111111001110…
…01110010000110
3100022000201101200
413330321302012
5233122441310
621123203330
73206634165
oct774716206
9308021350
10133405830
1169338858
1238816546
132183ba7c
1413a093dc
15baa29c0
hex7f39c86

133405830 has 48 divisors (see below), whose sum is σ = 348107760. Its totient is φ = 35446464.

The previous prime is 133405813. The next prime is 133405837. The reversal of 133405830 is 38504331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133405794 and 133405803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133405837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23841 + ... + 28899.

It is an arithmetic number, because the mean of its divisors is an integer number (7252245).

Almost surely, 2133405830 is an apocalyptic number.

133405830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133405830 is an abundant number, since it is smaller than the sum of its proper divisors (214701930).

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

133405830 is a wasteful number, since it uses less digits than its factorization.

133405830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133405830 is about 11550.1441549446. The cubic root of 133405830 is about 510.9655296185.

The spelling of 133405830 in words is "one hundred thirty-three million, four hundred five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5059 5274 8790 10118 13185 15177 25295 26370 30354 45531 50590 75885 91062 151770 227655 455310 1482287 2964574 4446861 7411435 8893722 13340583 14822870 22234305 26681166 44468610 66702915 133405830