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11076240 = 2435719347
BaseRepresentation
bin101010010000…
…001010010000
3202211201202010
4222100022100
510313414430
61033222520
7163101150
oct52201220
922751663
1011076240
11628581a
123861a40
1323aa6b6
141684760
15e8bcb0
hexa90290

11076240 has 160 divisors (see below), whose sum is σ = 41425920. Its totient is φ = 2391552.

The previous prime is 11076229. The next prime is 11076257. The reversal of 11076240 is 4267011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31747 + ... + 32093.

It is an arithmetic number, because the mean of its divisors is an integer number (258912).

Almost surely, 211076240 is an apocalyptic number.

11076240 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 11076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712960).

11076240 is an abundant number, since it is smaller than the sum of its proper divisors (30349680).

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

11076240 is a wasteful number, since it uses less digits than its factorization.

11076240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11076240 is about 3328.0985562330. The cubic root of 11076240 is about 222.9106333515.

The spelling of 11076240 in words is "eleven million, seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 347 380 399 420 456 532 560 570 665 694 760 798 840 912 1041 1064 1140 1330 1388 1520 1596 1680 1735 1995 2082 2128 2280 2429 2660 2776 3192 3470 3990 4164 4560 4858 5205 5320 5552 6384 6593 6940 7287 7980 8328 9716 10410 10640 12145 13186 13880 14574 15960 16656 19432 19779 20820 24290 26372 27760 29148 31920 32965 36435 38864 39558 41640 46151 48580 52744 58296 65930 72870 79116 83280 92302 97160 98895 105488 116592 131860 138453 145740 158232 184604 194320 197790 230755 263720 276906 291480 316464 369208 395580 461510 527440 553812 582960 692265 738416 791160 923020 1107624 1384530 1582320 1846040 2215248 2769060 3692080 5538120 11076240