Base | Representation |
---|---|
bin | 1111110110001… |
… | …10011011111100 |
3 | 100021010201022020 |
4 | 13323012123330 |
5 | 233012331442 |
6 | 21105120140 |
7 | 3202625565 |
oct | 773063374 |
9 | 307121266 |
10 | 132933372 |
11 | 690458a0 |
12 | 38629050 |
13 | 21704a00 |
14 | 1392516c |
15 | ba0c9ec |
hex | 7ec66fc |
132933372 has 144 divisors (see below), whose sum is σ = 376306560. Its totient is φ = 36192000.
The previous prime is 132933349. The next prime is 132933391. The reversal of 132933372 is 273339231.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
Its product of digits (20412) is a multiple of the sum of its prime divisors (189).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316122 + ... + 1316222.
It is an arithmetic number, because the mean of its divisors is an integer number (2613240).
Almost surely, 2132933372 is an apocalyptic number.
132933372 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 132933372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188153280).
132933372 is an abundant number, since it is smaller than the sum of its proper divisors (243373188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132933372 is a wasteful number, since it uses less digits than its factorization.
132933372 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 204 (or 189 counting only the distinct ones).
The product of its digits is 20412, while the sum is 33.
The square root of 132933372 is about 11529.6735426464. The cubic root of 132933372 is about 510.3616197314.
The spelling of 132933372 in words is "one hundred thirty-two million, nine hundred thirty-three thousand, three hundred seventy-two".
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