Base | Representation |
---|---|
bin | 1000001000101011000100 |
3 | 11000100111000 |
4 | 20020223010 |
5 | 1021221201 |
6 | 113413300 |
7 | 24061500 |
oct | 10105304 |
9 | 4010430 |
10 | 2132676 |
11 | 1227347 |
12 | 86a230 |
13 | 598950 |
14 | 3d7300 |
15 | 2c1d86 |
hex | 208ac4 |
2132676 has 144 divisors (see below), whose sum is σ = 7150080. Its totient is φ = 544320.
The previous prime is 2132659. The next prime is 2132699. The reversal of 2132676 is 6762312.
It is a happy number.
2132676 is nontrivially palindromic in base 5.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (3024) is a multiple of the sum of its prime divisors (56).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68781 + ... + 68811.
22132676 is an apocalyptic number.
2132676 is a gapful number since it is divisible by the number (26) 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 2132676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575040).
2132676 is an abundant number, since it is smaller than the sum of its proper divisors (5017404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132676 is a wasteful number, since it uses less digits than its factorization.
2132676 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 56 counting only the distinct ones).
The product of its digits is 3024, while the sum is 27.
The square root of 2132676 is about 1460.3684466600. The cubic root of 2132676 is about 128.7186947485.
Adding to 2132676 its reverse (6762312), we get a palindrome (8894988).
The spelling of 2132676 in words is "two million, one hundred thirty-two thousand, six hundred seventy-six".
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