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9680640 = 28352521
BaseRepresentation
bin100100111011…
…011100000000
3200012211100020
4210323130000
54434240030
6543253440
7145166304
oct44733400
920184306
109680640
115512232
1232aa280
13200c3b8
1413ddd04
15cb3510
hex93b700

9680640 has 72 divisors (see below), whose sum is σ = 30929808. Its totient is φ = 2580480.

The previous prime is 9680623. The next prime is 9680641. The reversal of 9680640 is 460869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9680641) 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, 2580 + ... + 5100.

Almost surely, 29680640 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 9680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464904).

9680640 is an abundant number, since it is smaller than the sum of its proper divisors (21249168).

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

9680640 is a wasteful number, since it uses less digits than its factorization.

9680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 9680640 is about 3111.3726874163. The cubic root of 9680640 is about 213.1251441192.

The spelling of 9680640 in words is "nine million, six hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2521 3840 5042 7563 10084 12605 15126 20168 25210 30252 37815 40336 50420 60504 75630 80672 100840 121008 151260 161344 201680 242016 302520 322688 403360 484032 605040 645376 806720 968064 1210080 1613440 1936128 2420160 3226880 4840320 9680640