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1132006560 = 253521111177
BaseRepresentation
bin100001101111001…
…0000110010100000
32220220001220001220
41003132100302200
54304243202220
6304154455040
740023616446
oct10336206240
92826056056
101132006560
11530a96313
12277134480
131506a9089
14aa4b0b96
15695a9540
hex43790ca0

1132006560 has 96 divisors (see below), whose sum is σ = 3583040832. Its totient is φ = 300410880.

The previous prime is 1132006553. The next prime is 1132006573. The reversal of 1132006560 is 656002311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1132006560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95692 + ... + 106868.

It is an arithmetic number, because the mean of its divisors is an integer number (37323342).

Almost surely, 21132006560 is an apocalyptic number.

1132006560 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 1132006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791520416).

1132006560 is an abundant number, since it is smaller than the sum of its proper divisors (2451034272).

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

1132006560 is a wasteful number, since it uses less digits than its factorization.

1132006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1132006560 is about 33645.3051702611. The cubic root of 1132006560 is about 1042.1965900447.

Adding to 1132006560 its reverse (656002311), we get a palindrome (1788008871).

The spelling of 1132006560 in words is "one billion, one hundred thirty-two million, six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 11177 12660 16880 20256 22354 25320 33531 33760 44708 50640 55885 67062 89416 101280 111770 134124 167655 178832 223540 268248 335310 357664 447080 536496 670620 894160 1072992 1341240 1788320 2358347 2682480 4716694 5364960 7075041 9433388 11791735 14150082 18866776 23583470 28300164 35375205 37733552 47166940 56600328 70750410 75467104 94333880 113200656 141500820 188667760 226401312 283001640 377335520 566003280 1132006560