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10996560 = 243451697
BaseRepresentation
bin101001111100…
…101101010000
3202200200110000
4221330231100
510303342220
61031410000
7162316641
oct51745520
922620400
1010996560
116230973
123823900
132380353
1416636c8
15e73390
hexa7cb50

10996560 has 100 divisors (see below), whose sum is σ = 38215188. Its totient is φ = 2930688.

The previous prime is 10996547. The next prime is 10996591. The reversal of 10996560 is 6569901.

10996560 is a `hidden beast` number, since 1 + 0 + 9 + 96 + 560 = 666.

10996560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 3111696 = 2808^2 + 1764^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5632 + ... + 7328.

Almost surely, 210996560 is an apocalyptic number.

10996560 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 10996560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107594).

10996560 is an abundant number, since it is smaller than the sum of its proper divisors (27218628).

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

10996560 is a wasteful number, since it uses less digits than its factorization.

10996560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 10996560 is about 3316.1061502913. The cubic root of 10996560 is about 222.3748233322.

It can be divided in two parts, 109 and 96560, that added together give a palindrome (96669).

The spelling of 10996560 in words is "ten million, nine hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 1697 2160 3240 3394 5091 6480 6788 8485 10182 13576 15273 16970 20364 25455 27152 30546 33940 40728 45819 50910 61092 67880 76365 81456 91638 101820 122184 135760 137457 152730 183276 203640 229095 244368 274914 305460 366552 407280 458190 549828 610920 687285 733104 916380 1099656 1221840 1374570 1832760 2199312 2749140 3665520 5498280 10996560