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1131000580 = 2252941199239
BaseRepresentation
bin100001101101001…
…1011001100000100
32220211011210010101
41003122123030010
54304014004310
6304121133444
740012226533
oct10332331404
92824153111
101131000580
11530469526
1227692a284
13150416218
14aa2cc31a
156945b43a
hex4369b304

1131000580 has 96 divisors (see below), whose sum is σ = 2540160000. Its totient is φ = 422231040.

The previous prime is 1131000557. The next prime is 1131000583. The reversal of 1131000580 is 850001311.

1131000580 is a nontrivial binomial coefficient, being equal to C(47561, 2).

It is not an unprimeable number, because it can be changed into a prime (1131000583) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4732101 + ... + 4732339.

It is an arithmetic number, because the mean of its divisors is an integer number (26460000).

Almost surely, 21131000580 is an apocalyptic number.

1131000580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131000580 is the 47560-th triangular number.

1131000580 is the 15854-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131000580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080000).

1131000580 is an abundant number, since it is smaller than the sum of its proper divisors (1409159420).

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

1131000580 is a wasteful number, since it uses less digits than its factorization.

1131000580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1131000580 is about 33630.3520647644. The cubic root of 1131000580 is about 1041.8877756835.

Adding to 1131000580 its reverse (850001311), we get a palindrome (1981001891).

The spelling of 1131000580 in words is "one billion, one hundred thirty-one million, five hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 199 205 239 290 398 410 478 580 796 820 956 995 1189 1195 1990 2378 2390 3980 4756 4780 5771 5945 6931 8159 9799 11542 11890 13862 16318 19598 23084 23780 27724 28855 32636 34655 39196 40795 47561 48995 57710 69310 81590 95122 97990 115420 138620 163180 190244 195980 236611 237805 284171 473222 475610 568342 946444 951220 1136684 1183055 1379269 1420855 1950001 2366110 2758538 2841710 3900002 4732220 5517076 5683420 6896345 7800004 9750005 13792690 19500010 27585380 39000020 56550029 113100058 226200116 282750145 565500290 1131000580