Base | Representation |
---|---|
bin | 1111101111001… |
… | …00101011000000 |
3 | 100012101201210220 |
4 | 13313210223000 |
5 | 232243234030 |
6 | 21033223040 |
7 | 3162024561 |
oct | 767445300 |
9 | 305351726 |
10 | 132008640 |
11 | 68574055 |
12 | 38261a80 |
13 | 2146cb2a |
14 | 13764168 |
15 | b8c8a10 |
hex | 7de4ac0 |
132008640 has 112 divisors (see below), whose sum is σ = 421843200. Its totient is φ = 34974720.
The previous prime is 132008573. The next prime is 132008659. The reversal of 132008640 is 46800231.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 132008640.
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, 190695 + ... + 191385.
Almost surely, 2132008640 is an apocalyptic number.
132008640 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 132008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210921600).
132008640 is an abundant number, since it is smaller than the sum of its proper divisors (289834560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132008640 is a wasteful number, since it uses less digits than its factorization.
132008640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 910 (or 900 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 132008640 is about 11489.5012946603. The cubic root of 132008640 is about 509.1754457637.
Adding to 132008640 its reverse (46800231), we get a palindrome (178808871).
The spelling of 132008640 in words is "one hundred thirty-two million, eight thousand, six hundred forty".
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