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133383640 = 235131791433
BaseRepresentation
bin1111111001101…
…00010111011000
3100021222120221211
413330310113120
5233121234030
621122512504
73206512405
oct774642730
9307876854
10133383640
1169323115
1238805734
1321831940
1413a012ac
15ba9b12a
hex7f345d8

133383640 has 64 divisors (see below), whose sum is σ = 325231200. Its totient is φ = 48940032.

The previous prime is 133383623. The next prime is 133383641. The reversal of 133383640 is 46383331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133383641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92364 + ... + 93796.

Almost surely, 2133383640 is an apocalyptic number.

133383640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162615600).

133383640 is an abundant number, since it is smaller than the sum of its proper divisors (191847560).

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

133383640 is a wasteful number, since it uses less digits than its factorization.

133383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 133383640 is about 11549.1835209248. The cubic root of 133383640 is about 510.9371976388.

The spelling of 133383640 in words is "one hundred thirty-three million, three hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 179 260 358 520 716 895 1432 1433 1790 2327 2866 3580 4654 5732 7160 7165 9308 11464 11635 14330 18616 18629 23270 28660 37258 46540 57320 74516 93080 93145 149032 186290 256507 372580 513014 745160 1026028 1282535 2052056 2565070 3334591 5130140 6669182 10260280 13338364 16672955 26676728 33345910 66691820 133383640