Base | Representation |
---|---|
bin | 1111110001111… |
… | …00110000000000 |
3 | 100020002001200200 |
4 | 13320330300000 |
5 | 232341310113 |
6 | 21045045200 |
7 | 3165056433 |
oct | 770746000 |
9 | 306061620 |
10 | 132369408 |
11 | 687a0106 |
12 | 383b6800 |
13 | 215680c2 |
14 | 1381981a |
15 | b94a873 |
hex | 7e3cc00 |
132369408 has 132 divisors (see below), whose sum is σ = 390862368. Its totient is φ = 43130880.
The previous prime is 132369383. The next prime is 132369431. The reversal of 132369408 is 804963231.
132369408 is a `hidden beast` number, since 13 + 236 + 9 + 408 = 666.
It is a super-3 number, since 3×1323694083 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488313 + ... + 488583.
Almost surely, 2132369408 is an apocalyptic number.
132369408 is a gapful number since it is divisible by the number (18) 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 132369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195431184).
132369408 is an abundant number, since it is smaller than the sum of its proper divisors (258492960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132369408 is a wasteful number, since it uses less digits than its factorization.
132369408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 350 (or 329 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 132369408 is about 11505.1904808221. The cubic root of 132369408 is about 509.6388677558.
The spelling of 132369408 in words is "one hundred thirty-two million, three hundred sixty-nine thousand, four hundred eight".
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