Search a number
-
+
1132690944 = 29371161157
BaseRepresentation
bin100001110000011…
…0111111000000000
32220221100122212110
41003200313320000
54304432102234
6304221255320
740032466650
oct10340677000
92827318773
101132690944
11531413520
12277404540
13150888738
14aa60c360
15696921e9
hex43837e00

1132690944 has 320 divisors, whose sum is σ = 3848182272. Its totient is φ = 287539200.

The previous prime is 1132690859. The next prime is 1132690981. The reversal of 1132690944 is 4490962311.

It is a super-2 number, since 2×11326909442 = 2565977549239222272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7214514 + ... + 7214670.

Almost surely, 21132690944 is an apocalyptic number.

1132690944 is a gapful number since it is divisible by the number (14) 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 1132690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924091136).

1132690944 is an abundant number, since it is smaller than the sum of its proper divisors (2715491328).

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

1132690944 is a wasteful number, since it uses less digits than its factorization.

1132690944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1132690944 is about 33655.4742055434. The cubic root of 1132690944 is about 1042.4065767486.

It can be divided in two parts, 1132 and 690944, that added together give a triangular number (692076 = T1176).

The spelling of 1132690944 in words is "one billion, one hundred thirty-two million, six hundred ninety thousand, nine hundred forty-four".