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9920688 = 24341712
BaseRepresentation
bin100101110110…
…000010110000
3200200000121220
4211312002300
510014430223
6552345040
7150216201
oct45660260
920600556
109920688
115666618
1233a5180
13209473b
1414635a8
15d0e6e3
hex9760b0

9920688 has 60 divisors (see below), whose sum is σ = 26628504. Its totient is φ = 3180800.

The previous prime is 9920683. The next prime is 9920689. The reversal of 9920688 is 8860299.

It is not an unprimeable number, because it can be changed into a prime (9920683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139693 + ... + 139763.

Almost surely, 29920688 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 9920688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314252).

9920688 is an abundant number, since it is smaller than the sum of its proper divisors (16707816).

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

9920688 is a wasteful number, since it uses less digits than its factorization.

9920688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9920688 is about 3149.7123678203. The cubic root of 9920688 is about 214.8723814479.

The spelling of 9920688 in words is "nine million, nine hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1704 1968 2911 3408 5041 5822 8733 10082 11644 15123 17466 20164 23288 30246 34932 40328 46576 60492 69864 80656 120984 139728 206681 241968 413362 620043 826724 1240086 1653448 2480172 3306896 4960344 9920688