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9997936 = 241371677
BaseRepresentation
bin100110001000…
…111001110000
3200210221120221
4212020321300
510024413221
6554142424
7150660334
oct46107160
920727527
109997936
115709663
123421a14
1320c0950
1414837c4
15d27541
hex988e70

9997936 has 40 divisors (see below), whose sum is σ = 21186144. Its totient is φ = 4542720.

The previous prime is 9997927. The next prime is 9997937. The reversal of 9997936 is 6397999.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14430 + ... + 15106.

Almost surely, 29997936 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 9997936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593072).

9997936 is an abundant number, since it is smaller than the sum of its proper divisors (11188208).

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

9997936 is a wasteful number, since it uses less digits than its factorization.

9997936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its digits is 826686, while the sum is 52.

The square root of 9997936 is about 3161.9512962726. The cubic root of 9997936 is about 215.4286454726.

The spelling of 9997936 in words is "nine million, nine hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 677 923 1136 1354 1846 2708 3692 5416 7384 8801 10832 14768 17602 35204 48067 70408 96134 140816 192268 384536 624871 769072 1249742 2499484 4998968 9997936