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1132430768 = 24729714891
BaseRepresentation
bin100001101111111…
…1000010110110000
32220220212102222022
41003133320112300
54304400241033
6304211531012
740030334300
oct10337702660
92826772868
101132430768
11531255aa7
122772b9a68
131507c71a1
14aa581600
1569640098
hex437f85b0

1132430768 has 60 divisors (see below), whose sum is σ = 2578788072. Its totient is φ = 480291840.

The previous prime is 1132430753. The next prime is 1132430777. The reversal of 1132430768 is 8670342311.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68603 + ... + 83493.

Almost surely, 21132430768 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 1132430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289394036).

1132430768 is an abundant number, since it is smaller than the sum of its proper divisors (1446357304).

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

1132430768 is a wasteful number, since it uses less digits than its factorization.

1132430768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15010 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1132430768 is about 33651.6086985452. The cubic root of 1132430768 is about 1042.3267579940.

The spelling of 1132430768 in words is "one billion, one hundred thirty-two million, four hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 194 196 388 392 679 776 784 1358 1552 2716 4753 5432 9506 10864 14891 19012 29782 38024 59564 76048 104237 119128 208474 238256 416948 729659 833896 1444427 1459318 1667792 2888854 2918636 5777708 5837272 10110989 11555416 11674544 20221978 23110832 40443956 70776923 80887912 141553846 161775824 283107692 566215384 1132430768