Search a number
-
+
1266985440 = 253257125693
BaseRepresentation
bin100101110000100…
…1010100111100000
310021022001112021200
41023201022213200
510043322013230
6325415521200
743253125050
oct11341124740
93238045250
101266985440
115a01a8a06
122b4389200
13172648b36
14c03a9560
157636d160
hex4b84a9e0

1266985440 has 144 divisors (see below), whose sum is σ = 4941282528. Its totient is φ = 289594368.

The previous prime is 1266985409. The next prime is 1266985459. The reversal of 1266985440 is 445896621.

1266985440 is a `hidden beast` number, since 12 + 6 + 6 + 98 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 52767 + ... + 72926.

It is an arithmetic number, because the mean of its divisors is an integer number (34314462).

Almost surely, 21266985440 is an apocalyptic number.

1266985440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1266985440 is an abundant number, since it is smaller than the sum of its proper divisors (3674297088).

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

1266985440 is a wasteful number, since it uses less digits than its factorization.

1266985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125721 (or 125710 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1266985440 is about 35594.7389370957. The cubic root of 1266985440 is about 1082.0746130681.

The spelling of 1266985440 in words is "one billion, two hundred sixty-six million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 125693 251386 377079 502772 628465 754158 879851 1005544 1131237 1256930 1508316 1759702 1885395 2011088 2262474 2513860 2639553 3016632 3519404 3770790 4022176 4399255 4524948 5027720 5279106 5656185 6033264 7038808 7541580 7918659 8798510 9049896 10055440 10558212 11312370 12066528 13197765 14077616 15083160 15837318 17597020 18099792 20110880 21116424 22624740 26395530 28155232 30166320 31674636 35194040 36199584 39593295 42232848 45249480 52791060 60332640 63349272 70388080 79186590 84465696 90498960 105582120 126698544 140776160 158373180 180997920 211164240 253397088 316746360 422328480 633492720 1266985440