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9721968 = 243673023
BaseRepresentation
bin100101000101…
…100001110000
3200021221000220
4211011201300
54442100333
6544213040
7145430634
oct45054160
920257026
109721968
115540293
12330a180
132025159
141410dc4
15cc08b3
hex945870

9721968 has 40 divisors (see below), whose sum is σ = 25498368. Its totient is φ = 3191232.

The previous prime is 9721951. The next prime is 9721969. The reversal of 9721968 is 8691279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9721969) 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, 1705 + ... + 4727.

Almost surely, 29721968 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 9721968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184).

9721968 is an abundant number, since it is smaller than the sum of its proper divisors (15776400).

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

9721968 is a wasteful number, since it uses less digits than its factorization.

9721968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3095 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 9721968 is about 3118.0070557970. The cubic root of 9721968 is about 213.4280005197.

The spelling of 9721968 in words is "nine million, seven hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3023 3216 6046 9069 12092 18138 24184 36276 48368 72552 145104 202541 405082 607623 810164 1215246 1620328 2430492 3240656 4860984 9721968