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11007040 = 265115359
BaseRepresentation
bin101001111111…
…010001000000
3202201012211011
4221333101000
510304211130
61031530304
7162362332
oct51772100
922635734
1011007040
116238830
123829994
132385055
141667452
15e7652a
hexa7f440

11007040 has 112 divisors (see below), whose sum is σ = 29626560. Its totient is φ = 3860480.

The previous prime is 11007001. The next prime is 11007043. The reversal of 11007040 is 4070011.

It is a self number, because there is not a number n which added to its sum of digits gives 11007040.

It is not an unprimeable number, because it can be changed into a prime (11007043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186531 + ... + 186589.

Almost surely, 211007040 is an apocalyptic number.

11007040 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 11007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813280).

11007040 is an abundant number, since it is smaller than the sum of its proper divisors (18619520).

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

11007040 is a wasteful number, since it uses less digits than its factorization.

11007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 11007040 is about 3317.6859405314. The cubic root of 11007040 is about 222.4454438475.

Adding to 11007040 its reverse (4070011), we get a palindrome (15077051).

The spelling of 11007040 in words is "eleven million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 59 64 80 88 106 110 118 160 176 212 220 236 265 295 320 352 424 440 472 530 583 590 649 704 848 880 944 1060 1166 1180 1298 1696 1760 1888 2120 2332 2360 2596 2915 3127 3245 3392 3520 3776 4240 4664 4720 5192 5830 6254 6490 8480 9328 9440 10384 11660 12508 12980 15635 16960 18656 18880 20768 23320 25016 25960 31270 34397 37312 41536 46640 50032 51920 62540 68794 93280 100064 103840 125080 137588 171985 186560 200128 207680 250160 275176 343970 500320 550352 687940 1000640 1100704 1375880 2201408 2751760 5503520 11007040