Base | Representation |
---|---|
bin | 1111110001000… |
… | …11010111100000 |
3 | 100012212210002000 |
4 | 13320203113200 |
5 | 232324443230 |
6 | 21042524000 |
7 | 3164144346 |
oct | 770432740 |
9 | 305783060 |
10 | 132265440 |
11 | 68729a8a |
12 | 38366600 |
13 | 2152c998 |
14 | 137cd996 |
15 | b929b60 |
hex | 7e235e0 |
132265440 has 192 divisors, whose sum is σ = 490432320. Its totient is φ = 33177600.
The previous prime is 132265429. The next prime is 132265447. The reversal of 132265440 is 44562231.
132265440 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 654 + 4 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132265447) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72540 + ... + 74340.
It is an arithmetic number, because the mean of its divisors is an integer number (2554335).
Almost surely, 2132265440 is an apocalyptic number.
132265440 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 132265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245216160).
132265440 is an abundant number, since it is smaller than the sum of its proper divisors (358166880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132265440 is a wasteful number, since it uses less digits than its factorization.
132265440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1842 (or 1828 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 132265440 is about 11500.6712847555. The cubic root of 132265440 is about 509.5054028485.
The spelling of 132265440 in words is "one hundred thirty-two million, two hundred sixty-five thousand, four hundred forty".
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