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1132303140 = 223256290573
BaseRepresentation
bin100001101111101…
…1001001100100100
32220220121221220100
41003133121030210
54304332200030
6304205104100
740026263223
oct10337311444
92826557810
101132303140
11531179121
12277258030
13150781077
14aa54acba
1569617360
hex437d9324

1132303140 has 36 divisors (see below), whose sum is σ = 3434653404. Its totient is φ = 301947456.

The previous prime is 1132303111. The next prime is 1132303147. The reversal of 1132303140 is 413032311.

It can be written as a sum of positive squares in 2 ways, for example, as 283046976 + 849256164 = 16824^2 + 29142^2 .

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

It is a super-2 number, since 2×11323031402 = 2564220801707719200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1132303147) 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, 3145107 + ... + 3145466.

It is an arithmetic number, because the mean of its divisors is an integer number (95407039).

Almost surely, 21132303140 is an apocalyptic number.

1132303140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132303140 is an abundant number, since it is smaller than the sum of its proper divisors (2302350264).

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

1132303140 is a wasteful number, since it uses less digits than its factorization.

1132303140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290588 (or 6290583 counting only the distinct ones).

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

The square root of 1132303140 is about 33649.7123316084. The cubic root of 1132303140 is about 1042.2875988444.

Adding to 1132303140 its reverse (413032311), we get a palindrome (1545335451).

The spelling of 1132303140 in words is "one billion, one hundred thirty-two million, three hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6290573 12581146 18871719 25162292 31452865 37743438 56615157 62905730 75486876 94358595 113230314 125811460 188717190 226460628 283075785 377434380 566151570 1132303140