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1120187268 = 223231116313
BaseRepresentation
bin100001011000100…
…1011001110000100
32220001211102001100
41002301023032010
54243231443033
6303053300100
736521302044
oct10261131604
92801742040
101120187268
11525353302
12273194630
1314b0cb405
14a8ab5724
1568522513
hex42c4b384

1120187268 has 18 divisors (see below), whose sum is σ = 2831584574. Its totient is φ = 373395744.

The previous prime is 1120187267. The next prime is 1120187269. The reversal of 1120187268 is 8627810211.

It is an interprime number because it is at equal distance from previous prime (1120187267) and next prime (1120187269).

It can be written as a sum of positive squares in only one way, i.e., 701084484 + 419102784 = 26478^2 + 20472^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 31116313 = 1120187268 / (1 + 1 + 2 + 0 + 1 + 8 + 7 + 2 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (1120187267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15558121 + ... + 15558192.

Almost surely, 21120187268 is an apocalyptic number.

1120187268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1120187268 is an abundant number, since it is smaller than the sum of its proper divisors (1711397306).

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

1120187268 is a wasteful number, since it uses less digits than its factorization.

1120187268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31116323 (or 31116318 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1120187268 is about 33469.1987953103. The cubic root of 1120187268 is about 1038.5566973818.

Adding to 1120187268 its reverse (8627810211), we get a palindrome (9747997479).

The spelling of 1120187268 in words is "one billion, one hundred twenty million, one hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 31116313 62232626 93348939 124465252 186697878 280046817 373395756 560093634 1120187268