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1116053460 = 223256200297
BaseRepresentation
bin100001010000101…
…1001111111010100
32212210001101112100
41002201121333110
54241202202320
6302424522100
736441204114
oct10241317724
92783041470
101116053460
11522a8a535
12271920330
1314a2b1982
14a831b044
1567ea7790
hex42859fd4

1116053460 has 36 divisors (see below), whose sum is σ = 3385362708. Its totient is φ = 297614208.

The previous prime is 1116053453. The next prime is 1116053467. The reversal of 1116053460 is 643506111.

1116053460 is a `hidden beast` number, since 1 + 11 + 60 + 534 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1116053453) and next prime (1116053467).

It can be written as a sum of positive squares in 2 ways, for example, as 155301444 + 960752016 = 12462^2 + 30996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116053467) 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, 3099969 + ... + 3100328.

It is an arithmetic number, because the mean of its divisors is an integer number (94037853).

Almost surely, 21116053460 is an apocalyptic number.

1116053460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116053460 is an abundant number, since it is smaller than the sum of its proper divisors (2269309248).

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

1116053460 is a wasteful number, since it uses less digits than its factorization.

1116053460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200312 (or 6200307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1116053460 is about 33407.3863090185. The cubic root of 1116053460 is about 1037.2775999803.

Adding to 1116053460 its reverse (643506111), we get a palindrome (1759559571).

It can be divided in two parts, 11160 and 53460, that added together give a triangular number (64620 = T359).

The spelling of 1116053460 in words is "one billion, one hundred sixteen million, fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6200297 12400594 18600891 24801188 31001485 37201782 55802673 62002970 74403564 93004455 111605346 124005940 186008910 223210692 279013365 372017820 558026730 1116053460