Search a number
-
+
12002787040 = 255537331931
BaseRepresentation
bin10110010110110101…
…11111111011100000
31010222111100202110011
423023122333323200
5144040203141130
65303005214304
7603304002136
oct131332777340
933874322404
1012002787040
1150aa295612
1223ab861394
1311938cc26a
1481c145756
154a3b2152a
hex2cb6bfee0

12002787040 has 96 divisors (see below), whose sum is σ = 28946012256. Its totient is φ = 4701665280.

The previous prime is 12002787037. The next prime is 12002787053. The reversal of 12002787040 is 4078720021.

It is a junction number, because it is equal to n+sod(n) for n = 12002786993 and 12002787011.

It is a congruent number.

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, 6214875 + ... + 6216805.

It is an arithmetic number, because the mean of its divisors is an integer number (301520961).

Almost surely, 212002787040 is an apocalyptic number.

12002787040 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 12002787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473006128).

12002787040 is an abundant number, since it is smaller than the sum of its proper divisors (16943225216).

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

12002787040 is a wasteful number, since it uses less digits than its factorization.

12002787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The spelling of 12002787040 in words is "twelve billion, two million, seven hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 733 848 1060 1466 1696 1931 2120 2932 3665 3862 4240 5864 7330 7724 8480 9655 11728 14660 15448 19310 23456 29320 30896 38620 38849 58640 61792 77240 77698 102343 117280 154480 155396 194245 204686 308960 310792 388490 409372 511715 621584 776980 818744 1023430 1243168 1415423 1553960 1637488 2046860 2830846 3107920 3274976 4093720 5661692 6215840 7077115 8187440 11323384 14154230 16374880 22646768 28308460 45293536 56616920 75017419 113233840 150034838 226467680 300069676 375087095 600139352 750174190 1200278704 1500348380 2400557408 3000696760 6001393520 12002787040