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1132415040 = 26351179599
BaseRepresentation
bin100001101111111…
…0100100001000000
32220220211122101210
41003133310201000
54304344240130
6304211330120
740030240401
oct10337644100
92826748353
101132415040
115312451a9
122772b0940
131507bcc93
14aa5799a8
156963a5b0
hex437f4840

1132415040 has 56 divisors (see below), whose sum is σ = 3595420800. Its totient is φ = 301977088.

The previous prime is 1132415023. The next prime is 1132415071. The reversal of 1132415040 is 405142311.

It is a junction number, because it is equal to n+sod(n) for n = 1132414998 and 1132415016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588840 + ... + 590759.

Almost surely, 21132415040 is an apocalyptic number.

1132415040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132415040 is an abundant number, since it is smaller than the sum of its proper divisors (2463005760).

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

1132415040 is a wasteful number, since it uses less digits than its factorization.

1132415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179619 (or 1179609 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1132415040 is about 33651.3750090542. The cubic root of 1132415040 is about 1042.3219324477.

Adding to 1132415040 its reverse (405142311), we get a palindrome (1537557351).

The spelling of 1132415040 in words is "one billion, one hundred thirty-two million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1179599 2359198 3538797 4718396 5897995 7077594 9436792 11795990 14155188 17693985 18873584 23591980 28310376 35387970 37747168 47183960 56620752 70775940 75494336 94367920 113241504 141551880 188735840 226483008 283103760 377471680 566207520 1132415040