Base | Representation |
---|---|
bin | 1000001000101000000000 |
3 | 11000100012202 |
4 | 20020220000 |
5 | 1021214410 |
6 | 113412332 |
7 | 24061100 |
oct | 10105000 |
9 | 4010182 |
10 | 2132480 |
11 | 1227189 |
12 | 86a0a8 |
13 | 59882c |
14 | 3d7200 |
15 | 2c1ca5 |
hex | 208a00 |
2132480 has 120 divisors (see below), whose sum is σ = 6297588. Its totient is φ = 688128.
The previous prime is 2132477. The next prime is 2132483. The reversal of 2132480 is 842312.
It is an interprime number because it is at equal distance from previous prime (2132477) and next prime (2132483).
It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 12544 = 1456^2 + 112^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (2132483) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125432 + ... + 125448.
22132480 is an apocalyptic number.
2132480 is a gapful number since it is divisible by the number (20) 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 2132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148794).
2132480 is an abundant number, since it is smaller than the sum of its proper divisors (4165108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132480 is an equidigital number, since it uses as much as digits as its factorization.
2132480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 54 (or 31 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 2132480 is about 1460.3013387654. The cubic root of 2132480 is about 128.7147514026.
Adding to 2132480 its reverse (842312), we get a palindrome (2974792).
The spelling of 2132480 in words is "two million, one hundred thirty-two thousand, four hundred eighty".
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