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1320430240 = 25543281683
BaseRepresentation
bin100111010110100…
…0010101010100000
310102000121210202201
41032231002222200
510201012231430
6335005222544
744502320563
oct11655025240
93360553681
101320430240
11618391868
1230a261a54
1318073c18c
14c751c4da
157adc88ca
hex4eb42aa0

1320430240 has 96 divisors (see below), whose sum is σ = 3208113216. Its totient is φ = 513300480.

The previous prime is 1320430201. The next prime is 1320430247. The reversal of 1320430240 is 420340231.

It is not an unprimeable number, because it can be changed into a prime (1320430247) 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, 1932939 + ... + 1933621.

It is an arithmetic number, because the mean of its divisors is an integer number (33417846).

Almost surely, 21320430240 is an apocalyptic number.

1320430240 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 1320430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604056608).

1320430240 is an abundant number, since it is smaller than the sum of its proper divisors (1887682976).

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

1320430240 is a wasteful number, since it uses less digits than its factorization.

1320430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1320430240 is about 36337.7247499069. The cubic root of 1320430240 is about 1097.0804785085.

Adding to 1320430240 its reverse (420340231), we get a palindrome (1740770471).

Subtracting from 1320430240 its reverse (420340231), we obtain a palindrome (900090009).

The spelling of 1320430240 in words is "one billion, three hundred twenty million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 281 344 430 562 683 688 860 1124 1366 1376 1405 1720 2248 2732 2810 3415 3440 4496 5464 5620 6830 6880 8992 10928 11240 12083 13660 21856 22480 24166 27320 29369 44960 48332 54640 58738 60415 96664 109280 117476 120830 146845 191923 193328 234952 241660 293690 383846 386656 469904 483320 587380 767692 939808 959615 966640 1174760 1535384 1919230 1933280 2349520 3070768 3838460 4699040 6141536 7676920 8252689 15353840 16505378 30707680 33010756 41263445 66021512 82526890 132043024 165053780 264086048 330107560 660215120 1320430240