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133508232 = 2332111312967
BaseRepresentation
bin1111111010100…
…10110010001000
3100022012220212100
413331102302020
5233134230412
621125313400
73210541554
oct775226210
9308186770
10133508232
11693a8790
1238865860
1321876570
1413a34864
15bac2edc
hex7f52c88

133508232 has 96 divisors (see below), whose sum is σ = 424831680. Its totient is φ = 37342080.

The previous prime is 133508213. The next prime is 133508233. The reversal of 133508232 is 232805331.

133508232 is a `hidden beast` number, since 133 + 508 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133508196 and 133508205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133508233) 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, 3813 + ... + 16779.

It is an arithmetic number, because the mean of its divisors is an integer number (4425330).

Almost surely, 2133508232 is an apocalyptic number.

133508232 is a gapful number since it is divisible by the number (12) 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 133508232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212415840).

133508232 is an abundant number, since it is smaller than the sum of its proper divisors (291323448).

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

133508232 is a wasteful number, since it uses less digits than its factorization.

133508232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13003 (or 12996 counting only the distinct ones).

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

The square root of 133508232 is about 11554.5762362797. The cubic root of 133508232 is about 511.0962348257.

The spelling of 133508232 in words is "one hundred thirty-three million, five hundred eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 12967 25934 38901 51868 77802 103736 116703 142637 155604 168571 233406 285274 311208 337142 427911 466812 505713 570548 674284 855822 933624 1011426 1141096 1283733 1348568 1517139 1711644 1854281 2022852 2567466 3034278 3423288 3708562 4045704 5134932 5562843 6068556 7417124 10269864 11125686 12137112 14834248 16688529 22251372 33377058 44502744 66754116 133508232