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11552940 = 22325753173
BaseRepresentation
bin101100000100…
…100010101100
3210201221122200
4230010202230
510424143230
61051341500
7200125020
oct54044254
923657580
1011552940
116580993
123a51890
132516679
14176a380
151033160
hexb048ac

11552940 has 144 divisors (see below), whose sum is σ = 41041728. Its totient is φ = 2575872.

The previous prime is 11552927. The next prime is 11552941. The reversal of 11552940 is 4925511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66694 + ... + 66866.

It is an arithmetic number, because the mean of its divisors is an integer number (285012).

Almost surely, 211552940 is an apocalyptic number.

11552940 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 11552940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864).

11552940 is an abundant number, since it is smaller than the sum of its proper divisors (29488788).

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

11552940 is a wasteful number, since it uses less digits than its factorization.

11552940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 11552940 is about 3398.9616061380. The cubic root of 11552940 is about 226.0637040768.

It can be divided in two parts, 1155 and 2940, that added together give a triangular number (4095 = T90).

The spelling of 11552940 in words is "eleven million, five hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 173 180 210 212 252 265 315 318 346 371 420 477 519 530 630 636 692 742 795 865 954 1038 1060 1113 1211 1260 1484 1557 1590 1730 1855 1908 2076 2226 2385 2422 2595 3114 3180 3339 3460 3633 3710 4452 4770 4844 5190 5565 6055 6228 6678 7266 7420 7785 9169 9540 10380 10899 11130 12110 13356 14532 15570 16695 18165 18338 21798 22260 24220 27507 31140 33390 36330 36676 43596 45845 54495 55014 64183 66780 72660 82521 91690 108990 110028 128366 137535 165042 183380 192549 217980 256732 275070 320915 330084 385098 412605 550140 577647 641830 770196 825210 962745 1155294 1283660 1650420 1925490 2310588 2888235 3850980 5776470 11552940