Base | Representation |
---|---|
bin | 101000100011… |
… | …101111000100 |
3 | 202000011112200 |
4 | 220203233010 |
5 | 10210212012 |
6 | 1015514500 |
7 | 156241320 |
oct | 50435704 |
9 | 22004480 |
10 | 10632132 |
11 | 6002095 |
12 | 3688a30 |
13 | 2283504 |
14 | 15aa980 |
15 | e003dc |
hex | a23bc4 |
10632132 has 72 divisors (see below), whose sum is σ = 31729152. Its totient is φ = 2937600.
The previous prime is 10632131. The next prime is 10632133. The reversal of 10632132 is 23123601.
10632132 is a `hidden beast` number, since 1 + 0 + 632 + 1 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (10632131) and next prime (10632133).
It is a super-2 number, since 2×106321322 = 226084461730848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10632131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7132 + ... + 8492.
Almost surely, 210632132 is an apocalyptic number.
10632132 is a gapful number since it is divisible by the number (12) 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 10632132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864576).
10632132 is an abundant number, since it is smaller than the sum of its proper divisors (21097020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10632132 is a wasteful number, since it uses less digits than its factorization.
10632132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1409 (or 1404 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 10632132 is about 3260.6950179371. The cubic root of 10632132 is about 219.8906619224.
Adding to 10632132 its reverse (23123601), we get a palindrome (33755733).
The spelling of 10632132 in words is "ten million, six hundred thirty-two thousand, one hundred thirty-two".
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