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1130761632 = 253721113412
BaseRepresentation
bin100001101100110…
…0000110110100000
32220210201122100110
41003121200312200
54303433333012
6304112051320
740010213100
oct10331406640
92823648313
101130761632
11530315a50
12276833b40
13150361530
14aa269200
156941073c
hex43660da0

1130761632 has 432 divisors, whose sum is σ = 4157860896. Its totient is φ = 264499200.

The previous prime is 1130761607. The next prime is 1130761633. The reversal of 1130761632 is 2361670311.

It is a self number, because there is not a number n which added to its sum of digits gives 1130761632.

It is not an unprimeable number, because it can be changed into a prime (1130761633) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27579532 + ... + 27579572.

It is an arithmetic number, because the mean of its divisors is an integer number (9624678).

Almost surely, 21130761632 is an apocalyptic number.

1130761632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078930448).

1130761632 is an abundant number, since it is smaller than the sum of its proper divisors (3027099264).

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

1130761632 is a wasteful number, since it uses less digits than its factorization.

1130761632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1130761632 is about 33626.7993124532. The cubic root of 1130761632 is about 1041.8143968426.

The spelling of 1130761632 in words is "one billion, one hundred thirty million, seven hundred sixty-one thousand, six hundred thirty-two".