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133038340 = 22523328549
BaseRepresentation
bin1111110111000…
…00000100000100
3100021100001021221
413323200010010
5233024211330
621111250124
73203543611
oct773400404
9307301257
10133038340
1169107746
1238679944
1321740716
1413951508
15ba2db7a
hex7ee0104

133038340 has 24 divisors (see below), whose sum is σ = 280589400. Its totient is φ = 52985088.

The previous prime is 133038331. The next prime is 133038397. The reversal of 133038340 is 43830331.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 133033156 = 72^2 + 11534^2 .

It is an unprimeable number.

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, 9615 + ... + 18934.

It is an arithmetic number, because the mean of its divisors is an integer number (11691225).

Almost surely, 2133038340 is an apocalyptic number.

133038340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133038340 is an abundant number, since it is smaller than the sum of its proper divisors (147551060).

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

133038340 is a wasteful number, since it uses less digits than its factorization.

133038340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28791 (or 28789 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 133038340 is about 11534.2247247052. The cubic root of 133038340 is about 510.4959164429.

Adding to 133038340 its reverse (43830331), we get a palindrome (176868671).

The spelling of 133038340 in words is "one hundred thirty-three million, thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 28549 57098 114196 142745 285490 570980 6651917 13303834 26607668 33259585 66519170 133038340