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1132615040 = 27510131747
BaseRepresentation
bin100001110000010…
…0101010110000000
32220221012210202012
41003200211112000
54304422140130
6304215512052
740032032444
oct10340452600
92827183665
101132615040
11531371497
12277388628
1315086001b
14aa5cc824
1569679995
hex43825580

1132615040 has 64 divisors (see below), whose sum is σ = 2711882160. Its totient is φ = 452339712.

The previous prime is 1132615027. The next prime is 1132615049. The reversal of 1132615040 is 405162311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1132614997 and 1132615015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132615049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647447 + ... + 649193.

Almost surely, 21132615040 is an apocalyptic number.

1132615040 is a gapful number since it is divisible by the number (10) 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 1132615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355941080).

1132615040 is an abundant number, since it is smaller than the sum of its proper divisors (1579267120).

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

1132615040 is a wasteful number, since it uses less digits than its factorization.

1132615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1132615040 is about 33654.3465246319. The cubic root of 1132615040 is about 1042.3832916101.

Adding to 1132615040 its reverse (405162311), we get a palindrome (1537777351).

The spelling of 1132615040 in words is "one billion, one hundred thirty-two million, six hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1013 1747 2026 3494 4052 5065 6988 8104 8735 10130 13976 16208 17470 20260 27952 32416 34940 40520 55904 64832 69880 81040 111808 129664 139760 162080 223616 279520 324160 559040 648320 1118080 1769711 3539422 7078844 8848555 14157688 17697110 28315376 35394220 56630752 70788440 113261504 141576880 226523008 283153760 566307520 1132615040