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10997280 = 2532571091
BaseRepresentation
bin101001111100…
…111000100000
3202200201102200
4221330320200
510303403110
61031413200
7162322020
oct51747040
922621380
1010997280
116231468
123824200
132380788
141663a80
15e736c0
hexa7ce20

10997280 has 144 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 2511360.

The previous prime is 10997279. The next prime is 10997291. The reversal of 10997280 is 8279901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 9535 + ... + 10625.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 210997280 is an apocalyptic number.

10997280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

10997280 is an abundant number, since it is smaller than the sum of its proper divisors (31931424).

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

10997280 is a wasteful number, since it uses less digits than its factorization.

10997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10997280 is about 3316.2147095748. The cubic root of 10997280 is about 222.3796765584.

The spelling of 10997280 in words is "ten million, nine hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1091 1120 1260 1440 1680 2016 2182 2520 3273 3360 4364 5040 5455 6546 7637 8728 9819 10080 10910 13092 15274 16365 17456 19638 21820 22911 26184 30548 32730 34912 38185 39276 43640 45822 49095 52368 61096 65460 68733 76370 78552 87280 91644 98190 104736 114555 122192 130920 137466 152740 157104 174560 183288 196380 229110 244384 261840 274932 305480 314208 343665 366576 392760 458220 523680 549864 610960 687330 733152 785520 916440 1099728 1221920 1374660 1571040 1832880 2199456 2749320 3665760 5498640 10997280