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11040720 = 2435179257
BaseRepresentation
bin101010000111…
…011111010000
3202202221000120
4222013133100
510311300340
61032350240
7162562455
oct52073720
922687016
1011040720
116261069
123845380
132397492
14167582c
15e814d0
hexa877d0

11040720 has 80 divisors (see below), whose sum is σ = 34551360. Its totient is φ = 2916352.

The previous prime is 11040707. The next prime is 11040721. The reversal of 11040720 is 2704011.

11040720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11040720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42832 + ... + 43088.

It is an arithmetic number, because the mean of its divisors is an integer number (431892).

Almost surely, 211040720 is an apocalyptic number.

11040720 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 11040720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275680).

11040720 is an abundant number, since it is smaller than the sum of its proper divisors (23510640).

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

11040720 is a wasteful number, since it uses less digits than its factorization.

11040720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11040720 is about 3322.7578906685. The cubic root of 11040720 is about 222.6720967915.

Adding to 11040720 its reverse (2704011), we get a palindrome (13744731).

The spelling of 11040720 in words is "eleven million, forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 257 358 514 537 716 771 895 1028 1074 1285 1432 1542 1790 2056 2148 2570 2685 2864 3084 3580 3855 4112 4296 5140 5370 6168 7160 7710 8592 10280 10740 12336 14320 15420 20560 21480 30840 42960 46003 61680 92006 138009 184012 230015 276018 368024 460030 552036 690045 736048 920060 1104072 1380090 1840120 2208144 2760180 3680240 5520360 11040720