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9941680 = 245741433
BaseRepresentation
bin100101111011…
…001010110000
3200201002102101
4211323022300
510021113210
6553030144
7150334330
oct45731260
920632371
109941680
115680371
1233b5354
1320a1168
14146b0c0
15d15a3a
hex97b2b0

9941680 has 80 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 3317760.

The previous prime is 9941671. The next prime is 9941699. The reversal of 9941680 is 861499.

9941680 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

9941680 is strictly pandigital in base 8.

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, 22744 + ... + 23176.

Almost surely, 29941680 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 9941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

9941680 is an abundant number, since it is smaller than the sum of its proper divisors (17181584).

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

9941680 is a wasteful number, since it uses less digits than its factorization.

9941680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 9941680 is about 3153.0429746516. The cubic root of 9941680 is about 215.0238300610.

The spelling of 9941680 in words is "nine million, nine hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 433 560 574 656 820 866 1148 1435 1640 1732 2165 2296 2870 3031 3280 3464 4330 4592 5740 6062 6928 8660 11480 12124 15155 17320 17753 22960 24248 30310 34640 35506 48496 60620 71012 88765 121240 124271 142024 177530 242480 248542 284048 355060 497084 621355 710120 994168 1242710 1420240 1988336 2485420 4970840 9941680