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11534940 = 2233541521
BaseRepresentation
bin101100000000…
…001001011100
3210201000222000
4230000021130
510423104230
61051122300
7200021364
oct54001134
923630860
1011534940
11656940a
123a43390
13250b411
1417639a4
15102cb60
hexb0025c

11534940 has 96 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 2995200.

The previous prime is 11534923. The next prime is 11534951. The reversal of 11534940 is 4943511.

It is a super-3 number, since 3×115349403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21880 + ... + 22400.

It is an arithmetic number, because the mean of its divisors is an integer number (383670).

Almost surely, 211534940 is an apocalyptic number.

11534940 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 11534940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

11534940 is an abundant number, since it is smaller than the sum of its proper divisors (25297380).

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

11534940 is a wasteful number, since it uses less digits than its factorization.

11534940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11534940 is about 3396.3127064509. The cubic root of 11534940 is about 225.9462372441.

The spelling of 11534940 in words is "eleven million, five hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 521 540 615 738 820 1042 1107 1230 1476 1563 1845 2084 2214 2460 2605 3126 3690 4428 4689 5210 5535 6252 7380 7815 9378 10420 11070 14067 15630 18756 21361 22140 23445 28134 31260 42722 46890 56268 64083 70335 85444 93780 106805 128166 140670 192249 213610 256332 281340 320415 384498 427220 576747 640830 768996 961245 1153494 1281660 1922490 2306988 2883735 3844980 5767470 11534940