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11034240 = 27357821
BaseRepresentation
bin101010000101…
…111010000000
3202202121010120
4222011322000
510311043430
61032300240
7162534540
oct52057200
922677116
1011034240
116257208
123841680
132394549
141673320
15e7e610
hexa85e80

11034240 has 128 divisors (see below), whose sum is σ = 40245120. Its totient is φ = 2519040.

The previous prime is 11034223. The next prime is 11034271. The reversal of 11034240 is 4243011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13030 + ... + 13850.

It is an arithmetic number, because the mean of its divisors is an integer number (314415).

Almost surely, 211034240 is an apocalyptic number.

11034240 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 11034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122560).

11034240 is an abundant number, since it is smaller than the sum of its proper divisors (29210880).

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

11034240 is an equidigital number, since it uses as much as digits as its factorization.

11034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11034240 is about 3321.7826539375. The cubic root of 11034240 is about 222.6285248273.

Adding to 11034240 its reverse (4243011), we get a palindrome (15277251).

The spelling of 11034240 in words is "eleven million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 821 840 896 960 1120 1344 1642 1680 1920 2240 2463 2688 3284 3360 4105 4480 4926 5747 6568 6720 8210 9852 11494 12315 13136 13440 16420 17241 19704 22988 24630 26272 28735 32840 34482 39408 45976 49260 52544 57470 65680 68964 78816 86205 91952 98520 105088 114940 131360 137928 157632 172410 183904 197040 229880 262720 275856 315264 344820 367808 394080 459760 525440 551712 689640 735616 788160 919520 1103424 1379280 1576320 1839040 2206848 2758560 3678080 5517120 11034240