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1130133024 = 253231126583
BaseRepresentation
bin100001101011100…
…0111011000100000
32220202112201001200
41003113013120200
54303303224044
6304050401200
740001654316
oct10327073040
92822481050
101130133024
1152aa26739
12276590200
131501a1387
14aa1440b6
1569339369
hex435c7620

1130133024 has 72 divisors (see below), whose sum is σ = 3317513472. Its totient is φ = 364556160.

The previous prime is 1130133013. The next prime is 1130133029. The reversal of 1130133024 is 4203310311.

1130133024 is a `hidden beast` number, since 11 + 301 + 330 + 24 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130132988 and 1130133006.

It is not an unprimeable number, because it can be changed into a prime (1130133029) 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 11 ways as a sum of consecutive naturals, for example, 54364 + ... + 72219.

It is an arithmetic number, because the mean of its divisors is an integer number (46076576).

Almost surely, 21130133024 is an apocalyptic number.

It is an amenable number.

1130133024 is an abundant number, since it is smaller than the sum of its proper divisors (2187380448).

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

1130133024 is a wasteful number, since it uses less digits than its factorization.

1130133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126630 (or 126619 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1130133024 is about 33617.4511823844. The cubic root of 1130133024 is about 1041.6213074421.

Adding to 1130133024 its reverse (4203310311), we get a palindrome (5333443335).

The spelling of 1130133024 in words is "one billion, one hundred thirty million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 126583 253166 379749 506332 759498 1012664 1139247 1518996 2025328 2278494 3037992 3924073 4050656 4556988 6075984 7848146 9113976 11772219 12151968 15696292 18227952 23544438 31392584 35316657 36455904 47088876 62785168 70633314 94177752 125570336 141266628 188355504 282533256 376711008 565066512 1130133024