Search a number
-
+
11370240640 = 2751110115991
BaseRepresentation
bin10101001011011100…
…00001101010000000
31002100102010001220201
422211232001222000
5141241240200030
65120131414544
7551523310423
oct124556015200
932312101821
1011370240640
1149052280a0
122253a54454
1310c2849655
1479c1299ba
154683252ca
hex2a5b81a80

11370240640 has 128 divisors (see below), whose sum is σ = 29948538240. Its totient is φ = 4093440000.

The previous prime is 11370240631. The next prime is 11370240641. The reversal of 11370240640 is 4604207311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11370240599 and 11370240608.

It is not an unprimeable number, because it can be changed into a prime (11370240641) 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 15 ways as a sum of consecutive naturals, for example, 703045 + ... + 719035.

It is an arithmetic number, because the mean of its divisors is an integer number (233972955).

Almost surely, 211370240640 is an apocalyptic number.

11370240640 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 11370240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974269120).

11370240640 is an abundant number, since it is smaller than the sum of its proper divisors (18578297600).

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

11370240640 is a wasteful number, since it uses less digits than its factorization.

11370240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16122 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 11370240640 its reverse (4604207311), we get a palindrome (15974447951).

The spelling of 11370240640 in words is "eleven billion, three hundred seventy million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 320 352 404 440 505 640 704 808 880 1010 1111 1408 1616 1760 2020 2222 3232 3520 4040 4444 5555 6464 7040 8080 8888 11110 12928 15991 16160 17776 22220 31982 32320 35552 44440 63964 64640 71104 79955 88880 127928 142208 159910 175901 177760 255856 319820 351802 355520 511712 639640 703604 711040 879505 1023424 1279280 1407208 1615091 1759010 2046848 2558560 2814416 3230182 3518020 5117120 5628832 6460364 7036040 8075455 10234240 11257664 12920728 14072080 16150910 17766001 22515328 25841456 28144160 32301820 35532002 51682912 56288320 64603640 71064004 88830005 103365824 112576640 129207280 142128008 177660010 206731648 258414560 284256016 355320020 516829120 568512032 710640040 1033658240 1137024064 1421280080 2274048128 2842560160 5685120320 11370240640