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1111412240 = 245291632939
BaseRepresentation
bin100001000111110…
…1100111000010000
32212110022120222022
41002033230320100
54234010142430
6302141231012
736353563631
oct10217547020
92773276868
101111412240
115203aa514
12270262468
131493482a3
14a786d888
156788c4e5
hex423ece10

1111412240 has 80 divisors (see below), whose sum is σ = 2690452800. Its totient is φ = 426456576.

The previous prime is 1111412231. The next prime is 1111412249. The reversal of 1111412240 is 422141111.

It is an interprime number because it is at equal distance from previous prime (1111412231) and next prime (1111412249).

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

It is not an unprimeable number, because it can be changed into a prime (1111412249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376691 + ... + 379629.

It is an arithmetic number, because the mean of its divisors is an integer number (33630660).

Almost surely, 21111412240 is an apocalyptic number.

1111412240 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 1111412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345226400).

1111412240 is an abundant number, since it is smaller than the sum of its proper divisors (1579040560).

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

1111412240 is a wasteful number, since it uses less digits than its factorization.

1111412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 1111412240 is about 33337.8499606678. The cubic root of 1111412240 is about 1035.8377279470.

Adding to 1111412240 its reverse (422141111), we get a palindrome (1533553351).

The spelling of 1111412240 in words is "one billion, one hundred eleven million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 163 232 290 326 464 580 652 815 1160 1304 1630 2320 2608 2939 3260 4727 5878 6520 9454 11756 13040 14695 18908 23512 23635 29390 37816 47024 47270 58780 75632 85231 94540 117560 170462 189080 235120 340924 378160 426155 479057 681848 852310 958114 1363696 1704620 1916228 2395285 3409240 3832456 4790570 6818480 7664912 9581140 13892653 19162280 27785306 38324560 55570612 69463265 111141224 138926530 222282448 277853060 555706120 1111412240