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11366940 = 22351321959
BaseRepresentation
bin101011010111…
…001000011100
3210101111111210
4223113020130
510402220230
61043344420
7165421524
oct53271034
923344453
1011366940
116464172
123982110
13247cb00
14171c684
15ee7eb0
hexad721c

11366940 has 144 divisors (see below), whose sum is σ = 36892800. Its totient is φ = 2605824.

The previous prime is 11366939. The next prime is 11366941. The reversal of 11366940 is 4966311.

11366940 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 is an interprime number because it is at equal distance from previous prime (11366939) and next prime (11366941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11366898 and 11366907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11366941) 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, 192631 + ... + 192689.

It is an arithmetic number, because the mean of its divisors is an integer number (256200).

Almost surely, 211366940 is an apocalyptic number.

11366940 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 11366940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446400).

11366940 is an abundant number, since it is smaller than the sum of its proper divisors (25525860).

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

11366940 is a wasteful number, since it uses less digits than its factorization.

11366940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 11366940 is about 3371.4892851676. The cubic root of 11366940 is about 224.8439411661.

The spelling of 11366940 in words is "eleven million, three hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 59 60 65 76 78 95 114 118 130 156 169 177 190 195 228 236 247 260 285 295 338 354 380 390 494 507 570 590 676 708 741 767 780 845 885 988 1014 1121 1140 1180 1235 1482 1534 1690 1770 2028 2242 2301 2470 2535 2964 3068 3211 3363 3380 3540 3705 3835 4484 4602 4940 5070 5605 6422 6726 7410 7670 9204 9633 9971 10140 11210 11505 12844 13452 14573 14820 15340 16055 16815 19266 19942 22420 23010 29146 29913 32110 33630 38532 39884 43719 46020 48165 49855 58292 59826 64220 67260 72865 87438 96330 99710 119652 145730 149565 174876 189449 192660 199420 218595 291460 299130 378898 437190 568347 598260 757796 874380 947245 1136694 1894490 2273388 2841735 3788980 5683470 11366940