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1166027040 = 25325809741
BaseRepresentation
bin100010110000000…
…0010100100100000
310000021002022101200
41011200002210200
54342000331130
6311412001200
740616031513
oct10540024440
93007068350
101166027040
11549212412
12286600200
1315775b039
14b0c08d7a
156c579760
hex45802920

1166027040 has 72 divisors (see below), whose sum is σ = 3979072188. Its totient is φ = 310940160.

The previous prime is 1166027039. The next prime is 1166027081. The reversal of 1166027040 is 407206611.

1166027040 is a `hidden beast` number, since 1 + 16 + 602 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1158993936 + 7033104 = 34044^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11660270402 = 2719238116022323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1166026995 and 1166027013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403431 + ... + 406310.

Almost surely, 21166027040 is an apocalyptic number.

1166027040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166027040 is an abundant number, since it is smaller than the sum of its proper divisors (2813045148).

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

1166027040 is a wasteful number, since it uses less digits than its factorization.

1166027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809762 (or 809751 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1166027040 is about 34147.1380938432. The cubic root of 1166027040 is about 1052.5341781526.

The spelling of 1166027040 in words is "one billion, one hundred sixty-six million, twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 809741 1619482 2429223 3238964 4048705 4858446 6477928 7287669 8097410 9716892 12146115 12955856 14575338 16194820 19433784 24292230 25911712 29150676 32389640 36438345 38867568 48584460 58301352 64779280 72876690 77735136 97168920 116602704 129558560 145753380 194337840 233205408 291506760 388675680 583013520 1166027040