Search a number
-
+
9997932 = 2237412903
BaseRepresentation
bin100110001000…
…111001101100
3200210221120210
4212020321230
510024413212
6554142420
7150660330
oct46107154
920727523
109997932
11570965a
123421a10
1320c0949
1414837c0
15d2753c
hex988e6c

9997932 has 48 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 2785920.

The previous prime is 9997927. The next prime is 9997937. The reversal of 9997932 is 2397999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9997927) and next prime (9997937).

It is not an unprimeable number, because it can be changed into a prime (9997937) 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 15 ways as a sum of consecutive naturals, for example, 1993 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 29997932 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 9997932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

9997932 is an abundant number, since it is smaller than the sum of its proper divisors (17322900).

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

9997932 is a wasteful number, since it uses less digits than its factorization.

9997932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2956 counting only the distinct ones).

The product of its digits is 275562, while the sum is 48.

The square root of 9997932 is about 3161.9506637517. The cubic root of 9997932 is about 215.4286167429.

The spelling of 9997932 in words is "nine million, nine hundred ninety-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 2903 3444 5806 8709 11612 17418 20321 34836 40642 60963 81284 119023 121926 238046 243852 357069 476092 714138 833161 1428276 1666322 2499483 3332644 4998966 9997932