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9980320 = 255721967
BaseRepresentation
bin100110000100…
…100110100000
3200210001102111
4212010212200
510023332240
6553525104
7150555100
oct46044640
920701374
109980320
1156a73a9
123413794
1320b591c
14147b200
15d221ea
hex9849a0

9980320 has 144 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 3193344.

The previous prime is 9980317. The next prime is 9980351. The reversal of 9980320 is 230899.

It is a happy number.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148927 + ... + 148993.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 29980320 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 9980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

9980320 is an abundant number, since it is smaller than the sum of its proper divisors (19322240).

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

9980320 is a wasteful number, since it uses less digits than its factorization.

9980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 9980320 is about 3159.1644464953. The cubic root of 9980320 is about 215.3020452729.

The spelling of 9980320 in words is "nine million, nine hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 67 70 76 80 95 98 112 133 134 140 152 160 190 196 224 245 266 268 280 304 335 380 392 469 490 532 536 560 608 665 670 760 784 931 938 980 1064 1072 1120 1273 1330 1340 1520 1568 1862 1876 1960 2128 2144 2345 2546 2660 2680 3040 3283 3724 3752 3920 4256 4655 4690 5092 5320 5360 6365 6566 7448 7504 7840 8911 9310 9380 10184 10640 10720 12730 13132 14896 15008 16415 17822 18620 18760 20368 21280 25460 26264 29792 32830 35644 37240 37520 40736 44555 50920 52528 62377 65660 71288 74480 75040 89110 101840 105056 124754 131320 142576 148960 178220 203680 249508 262640 285152 311885 356440 499016 525280 623770 712880 998032 1247540 1425760 1996064 2495080 4990160 9980320