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1120418368 = 2631218217
BaseRepresentation
bin100001011001000…
…0011101001000000
32220002021011001121
41002302003221000
54243311341433
6303102242024
736523253566
oct10262035100
92802234047
101120418368
115254a09a3
12273286314
1314b17c664
14a8b35a36
156856ac2d
hex42c83a40

1120418368 has 42 divisors (see below), whose sum is σ = 2297490198. Its totient is φ = 542108160.

The previous prime is 1120418359. The next prime is 1120418441. The reversal of 1120418368 is 8638140211.

It can be written as a sum of positive squares in only one way, i.e., 827597824 + 292820544 = 28768^2 + 17112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52396 + ... + 70612.

Almost surely, 21120418368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148745099).

1120418368 is an abundant number, since it is smaller than the sum of its proper divisors (1177071830).

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

1120418368 is an equidigital number, since it uses as much as digits as its factorization.

1120418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18291 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1120418368 is about 33472.6510452937. The cubic root of 1120418368 is about 1038.6281122117.

Adding to 1120418368 its reverse (8638140211), we get a palindrome (9758558579).

It can be divided in two parts, 112041 and 8368, that added together give a square (120409 = 3472).

The spelling of 1120418368 in words is "one billion, one hundred twenty million, four hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 7688 15376 18217 30752 36434 61504 72868 145736 291472 564727 582944 1129454 1165888 2258908 4517816 9035632 17506537 18071264 35013074 36142528 70026148 140052296 280104592 560209184 1120418368