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1125486090 = 23551921283
BaseRepresentation
bin100001100010101…
…1000111000001010
32220102210121200000
41003011120320022
54301111023330
6303403023430
736614321361
oct10305307012
92812717600
101125486090
115283423a3
12274b0ab76
1314c235201
14a96947d8
1568c1c560
hex43158e0a

1125486090 has 144 divisors (see below), whose sum is σ = 3205264608. Its totient is φ = 284111712.

The previous prime is 1125486083. The next prime is 1125486101. The reversal of 1125486090 is 906845211.

1125486090 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 48 + 609 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 876589 + ... + 877871.

It is an arithmetic number, because the mean of its divisors is an integer number (22258782).

Almost surely, 21125486090 is an apocalyptic number.

1125486090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125486090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602632304).

1125486090 is an abundant number, since it is smaller than the sum of its proper divisors (2079778518).

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

1125486090 is a wasteful number, since it uses less digits than its factorization.

1125486090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1125486090 is about 33548.2650818191. The cubic root of 1125486090 is about 1040.1916837265.

It can be divided in two parts, 11254 and 86090, that added together give a square (97344 = 3122).

The spelling of 1125486090 in words is "one billion, one hundred twenty-five million, four hundred eighty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 361 405 486 513 570 722 810 855 1026 1083 1215 1283 1539 1710 1805 2166 2430 2565 2566 3078 3249 3610 3849 4617 5130 5415 6415 6498 7695 7698 9234 9747 10830 11547 12830 15390 16245 19245 19494 23085 23094 24377 29241 32490 34641 38490 46170 48735 48754 57735 58482 69282 73131 87723 97470 103923 115470 121885 146205 146262 173205 175446 207846 219393 243770 292410 311769 346410 365655 438615 438786 463163 519615 623538 658179 731310 877230 926326 1039230 1096965 1316358 1389489 1558845 1974537 2193930 2315815 2778978 3117690 3290895 3949074 4168467 4631630 5923611 6581790 6947445 8336934 9872685 11847222 12505401 13894890 19745370 20842335 25010802 29618055 37516203 41684670 59236110 62527005 75032406 112548609 125054010 187581015 225097218 375162030 562743045 1125486090