Base | Representation |
---|---|
bin | 1111110000001… |
… | …11011101100100 |
3 | 100012122222021200 |
4 | 13320013131210 |
5 | 232312314030 |
6 | 21040242500 |
7 | 3163160202 |
oct | 770073544 |
9 | 305588250 |
10 | 132151140 |
11 | 68661120 |
12 | 38310430 |
13 | 214bc954 |
14 | 137a0072 |
15 | b905d60 |
hex | 7e07764 |
132151140 has 144 divisors (see below), whose sum is σ = 451616256. Its totient is φ = 30988800.
The previous prime is 132151079. The next prime is 132151141. The reversal of 132151140 is 41151231.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (132151141) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60304 + ... + 62456.
It is an arithmetic number, because the mean of its divisors is an integer number (3136224).
Almost surely, 2132151140 is an apocalyptic number.
132151140 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 132151140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225808128).
132151140 is an abundant number, since it is smaller than the sum of its proper divisors (319465116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132151140 is a wasteful number, since it uses less digits than its factorization.
132151140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 18.
The square root of 132151140 is about 11495.7009355672. The cubic root of 132151140 is about 509.3585938987.
Subtracting from 132151140 its reverse (41151231), we obtain a palindrome (90999909).
The spelling of 132151140 in words is "one hundred thirty-two million, one hundred fifty-one thousand, one hundred forty".
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