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11166210240 = 263511631469
BaseRepresentation
bin10100110011000111…
…01101100011000000
31001211012012020211020
422121203231203000
5140332022211430
65044002345440
7543465135543
oct123143554300
931735166736
1011166210240
114810042029
1221b765b280
13108c4b09c3
1477cdb885a
15455471b10
hex2998ed8c0

11166210240 has 56 divisors (see below), whose sum is σ = 35452720560. Its totient is φ = 2977655808.

The previous prime is 11166210203. The next prime is 11166210299. The reversal of 11166210240 is 4201266111.

It is a happy number.

It is a super-2 number, since 2×111662102402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11166210240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5814775 + ... + 5816694.

Almost surely, 211166210240 is an apocalyptic number.

11166210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11166210240 is an abundant number, since it is smaller than the sum of its proper divisors (24286510320).

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

11166210240 is a wasteful number, since it uses less digits than its factorization.

11166210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631489 (or 11631479 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11166210240 its reverse (4201266111), we get a palindrome (15367476351).

The spelling of 11166210240 in words is "eleven billion, one hundred sixty-six million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 11631469 23262938 34894407 46525876 58157345 69788814 93051752 116314690 139577628 174472035 186103504 232629380 279155256 348944070 372207008 465258760 558310512 697888140 744414016 930517520 1116621024 1395776280 1861035040 2233242048 2791552560 3722070080 5583105120 11166210240