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1140665040 = 243251584257
BaseRepresentation
bin100001111111101…
…0010101011010000
32221111100210021100
41003333102223100
54314002240130
6305104224400
740160331024
oct10377225320
92844323240
101140665040
1153596a589
1227a00b100
1315241b138
14ab6c6384
156a219c60
hex43fd2ad0

1140665040 has 60 divisors (see below), whose sum is σ = 3830735844. Its totient is φ = 304177152.

The previous prime is 1140665039. The next prime is 1140665041. The reversal of 1140665040 is 405660411.

1140665040 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 6 + 650 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1140665039) and next prime (1140665041).

It can be written as a sum of positive squares in 2 ways, for example, as 209438784 + 931226256 = 14472^2 + 30516^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11406650402 = 2602233466956403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140664995 and 1140665013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140665041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 791409 + ... + 792848.

Almost surely, 21140665040 is an apocalyptic number.

1140665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140665040 is an abundant number, since it is smaller than the sum of its proper divisors (2690070804).

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

1140665040 is a wasteful number, since it uses less digits than its factorization.

1140665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584276 (or 1584267 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1140665040 is about 33773.7329888184. The cubic root of 1140665040 is about 1044.8470247598.

The spelling of 1140665040 in words is "one billion, one hundred forty million, six hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1584257 3168514 4752771 6337028 7921285 9505542 12674056 14258313 15842570 19011084 23763855 25348112 28516626 31685140 38022168 47527710 57033252 63370280 71291565 76044336 95055420 114066504 126740560 142583130 190110840 228133008 285166260 380221680 570332520 1140665040