Search a number
-
+
12054260040 = 23351746712653
BaseRepresentation
bin10110011100111110…
…10110100101001000
31011010002012212010120
423032133112211020
5144141342310130
65312044343240
7604500343164
oct131637264510
934102185116
1012054260040
115126351a89
122404b44b20
1311a1481c64
14824d03ca4
154a83dc910
hex2ce7d6948

12054260040 has 128 divisors (see below), whose sum is σ = 38375026560. Its totient is φ = 3018665984.

The previous prime is 12054260021. The next prime is 12054260083. The reversal of 12054260040 is 4006245021.

It is a super-2 number, since 2×120542600402 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946354 + ... + 959006.

It is an arithmetic number, because the mean of its divisors is an integer number (299804895).

Almost surely, 212054260040 is an apocalyptic number.

12054260040 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 12054260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19187513280).

12054260040 is an abundant number, since it is smaller than the sum of its proper divisors (26320766520).

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

12054260040 is a wasteful number, since it uses less digits than its factorization.

12054260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13151 (or 13147 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 12054260040 in words is "twelve billion, fifty-four million, two hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 467 510 680 934 1020 1401 1868 2040 2335 2802 3736 4670 5604 7005 7939 9340 11208 12653 14010 15878 18680 23817 25306 28020 31756 37959 39695 47634 50612 56040 63265 63512 75918 79390 95268 101224 119085 126530 151836 158780 189795 190536 215101 238170 253060 303672 317560 379590 430202 476340 506120 645303 759180 860404 952680 1075505 1290606 1518360 1720808 2151010 2581212 3226515 4302020 5162424 5908951 6453030 8604040 11817902 12906060 17726853 23635804 25812120 29544755 35453706 47271608 59089510 70907412 88634265 100452167 118179020 141814824 177268530 200904334 236358040 301356501 354537060 401808668 502260835 602713002 709074120 803617336 1004521670 1205426004 1506782505 2009043340 2410852008 3013565010 4018086680 6027130020 12054260040