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9939680 = 255233773
BaseRepresentation
bin100101111010…
…101011100000
3200200222200022
4211322223200
510021032210
6553013012
7150325442
oct45725340
920628608
109939680
115679913
1233b4168
1320a028a
14146a492
15d15155
hex97aae0

9939680 has 96 divisors (see below), whose sum is σ = 25510464. Its totient is φ = 3649536.

The previous prime is 9939667. The next prime is 9939707. The reversal of 9939680 is 869399.

9939680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136124 + ... + 136196.

It is an arithmetic number, because the mean of its divisors is an integer number (265734).

Almost surely, 29939680 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 9939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755232).

9939680 is an abundant number, since it is smaller than the sum of its proper divisors (15570784).

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

9939680 is a wasteful number, since it uses less digits than its factorization.

9939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 9939680 is about 3152.7258047601. The cubic root of 9939680 is about 215.0094100803.

The spelling of 9939680 in words is "nine million, nine hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 73 74 80 92 115 146 148 160 184 185 230 292 296 365 368 370 460 584 592 730 736 740 851 920 1168 1184 1460 1480 1679 1702 1840 2336 2701 2920 2960 3358 3404 3680 4255 5402 5840 5920 6716 6808 8395 8510 10804 11680 13432 13505 13616 16790 17020 21608 26864 27010 27232 33580 34040 43216 53728 54020 62123 67160 68080 86432 108040 124246 134320 136160 216080 248492 268640 310615 432160 496984 621230 993968 1242460 1987936 2484920 4969840 9939680