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133210032 = 24347137431
BaseRepresentation
bin1111111000010…
…01111110110000
3100021122202210220
413330021332300
5233100210112
621115053040
73205160304
oct774117660
9307582726
10133210032
116921473a
1238741180
13217a0907
1413997d04
15ba6498c
hex7f09fb0

133210032 has 80 divisors (see below), whose sum is σ = 354834432. Its totient is φ = 43041280.

The previous prime is 133210019. The next prime is 133210067. The reversal of 133210032 is 230012331.

It is a junction number, because it is equal to n+sod(n) for n = 133209993 and 133210020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308857 + ... + 309287.

Almost surely, 2133210032 is an apocalyptic number.

133210032 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 133210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177417216).

133210032 is an abundant number, since it is smaller than the sum of its proper divisors (221624400).

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

133210032 is a wasteful number, since it uses less digits than its factorization.

133210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133210032 is about 11541.6650445246. The cubic root of 133210032 is about 510.7154280696.

Adding to 133210032 its reverse (230012331), we get a palindrome (363222363).

The spelling of 133210032 in words is "one hundred thirty-three million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 137 141 188 274 282 376 411 431 548 564 752 822 862 1096 1128 1293 1644 1724 2192 2256 2586 3288 3448 5172 6439 6576 6896 10344 12878 19317 20257 20688 25756 38634 40514 51512 59047 60771 77268 81028 103024 118094 121542 154536 162056 177141 236188 243084 309072 324112 354282 472376 486168 708564 944752 972336 1417128 2775209 2834256 5550418 8325627 11100836 16651254 22201672 33302508 44403344 66605016 133210032