Search a number
-
+
9966632 = 2313472039
BaseRepresentation
bin100110000001…
…010000101000
3200202100122112
4212001100220
510022413012
6553341452
7150500144
oct46012050
920670575
109966632
115698095
123407888
1320ac620
141476224
15d1d122
hex981428

9966632 has 32 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 4499904.

The previous prime is 9966629. The next prime is 9966643. The reversal of 9966632 is 2366699.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 9966632.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3869 + ... + 5907.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 29966632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

9966632 is an abundant number, since it is smaller than the sum of its proper divisors (10596568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9966632 is a wasteful number, since it uses less digits than its factorization.

9966632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2101 counting only the distinct ones).

The product of its digits is 104976, while the sum is 41.

The square root of 9966632 is about 3156.9973075693. The cubic root of 9966632 is about 215.2035713858.

The spelling of 9966632 in words is "nine million, nine hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 2039 2444 4078 4888 8156 16312 26507 53014 95833 106028 191666 212056 383332 766664 1245829 2491658 4983316 9966632