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1155104040 = 233535926813
BaseRepresentation
bin100010011011001…
…0111110100101000
32222111112100212010
41010312113310220
54331201312130
6310341515520
740424136156
oct10466276450
92874470763
101155104040
11543031842
12282a12ba0
1315540531c
14ad5a43d6
156b61d0b0
hex44d97d28

1155104040 has 64 divisors (see below), whose sum is σ = 3475094400. Its totient is φ = 307158272.

The previous prime is 1155104021. The next prime is 1155104047. The reversal of 1155104040 is 404015511.

It is a junction number, because it is equal to n+sod(n) for n = 1155103998 and 1155104016.

It is not an unprimeable number, because it can be changed into a prime (1155104047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29674 + ... + 56486.

It is an arithmetic number, because the mean of its divisors is an integer number (54298350).

Almost surely, 21155104040 is an apocalyptic number.

1155104040 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 1155104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737547200).

1155104040 is an abundant number, since it is smaller than the sum of its proper divisors (2319990360).

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

1155104040 is a wasteful number, since it uses less digits than its factorization.

1155104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27186 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1155104040 is about 33986.8215636591. The cubic root of 1155104040 is about 1049.2372510409.

Adding to 1155104040 its reverse (404015511), we get a palindrome (1559119551).

The spelling of 1155104040 in words is "one billion, one hundred fifty-five million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 718 1077 1436 1795 2154 2872 3590 4308 5385 7180 8616 10770 14360 21540 26813 43080 53626 80439 107252 134065 160878 214504 268130 321756 402195 536260 643512 804390 1072520 1608780 3217560 9625867 19251734 28877601 38503468 48129335 57755202 77006936 96258670 115510404 144388005 192517340 231020808 288776010 385034680 577552020 1155104040