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9923680 = 255132367
BaseRepresentation
bin100101110110…
…110001100000
3200200011201201
4211312301200
510020024210
6552410544
7150231004
oct45666140
920604651
109923680
115668898
1233a6a54
132095c00
141464704
15d1053a
hex976c60

9923680 has 72 divisors (see below), whose sum is σ = 25456032. Its totient is φ = 3654144.

The previous prime is 9923677. The next prime is 9923701. The reversal of 9923680 is 863299.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26857 + ... + 27223.

It is an arithmetic number, because the mean of its divisors is an integer number (353556).

Almost surely, 29923680 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 9923680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728016).

9923680 is an abundant number, since it is smaller than the sum of its proper divisors (15532352).

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

9923680 is a wasteful number, since it uses less digits than its factorization.

9923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 9923680 is about 3150.1872960191. The cubic root of 9923680 is about 214.8939805395.

The spelling of 9923680 in words is "nine million, nine hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 367 416 520 676 734 845 1040 1352 1468 1690 1835 2080 2704 2936 3380 3670 4771 5408 5872 6760 7340 9542 11744 13520 14680 19084 23855 27040 29360 38168 47710 58720 62023 76336 95420 124046 152672 190840 248092 310115 381680 496184 620230 763360 992368 1240460 1984736 2480920 4961840 9923680