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11049640 = 2357193167
BaseRepresentation
bin101010001001…
…101010101000
3202210101020221
4222021222220
510312042030
61032455424
7162630460
oct52115250
922711227
1011049640
116267838
12384a574
13239b564
141678ba0
15e83e7a
hexa89aa8

11049640 has 128 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 3421440.

The previous prime is 11049631. The next prime is 11049641. The reversal of 11049640 is 4694011.

It is not an unprimeable number, because it can be changed into a prime (11049641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164887 + ... + 164953.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 211049640 is an apocalyptic number.

11049640 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 11049640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

11049640 is an abundant number, since it is smaller than the sum of its proper divisors (20284760).

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

11049640 is a wasteful number, since it uses less digits than its factorization.

11049640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 11049640 is about 3324.0998781625. The cubic root of 11049640 is about 222.7320476050.

The spelling of 11049640 in words is "eleven million, forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 67 70 76 95 124 133 134 140 152 155 190 217 248 266 268 280 310 335 380 434 469 532 536 589 620 665 670 760 868 938 1064 1085 1178 1240 1273 1330 1340 1736 1876 2077 2170 2345 2356 2546 2660 2680 2945 3752 4123 4154 4340 4690 4712 5092 5320 5890 6365 8246 8308 8680 8911 9380 10184 10385 11780 12730 14539 16492 16616 17822 18760 20615 20770 23560 25460 29078 32984 35644 39463 41230 41540 44555 50920 58156 71288 72695 78926 82460 83080 89110 116312 145390 157852 164920 178220 197315 276241 290780 315704 356440 394630 552482 581560 789260 1104964 1381205 1578520 2209928 2762410 5524820 11049640