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1188013420 = 225112926421
BaseRepresentation
bin100011011001111…
…1010010101101100
310001210110100001001
41012303322111230
54413112412140
6313515130044
741303642656
oct10663722554
93053410031
101188013420
1155a66a080
12291a43924
1315c188629
14b3acd6d6
156e46de9a
hex46cfa56c

1188013420 has 72 divisors (see below), whose sum is σ = 2819155248. Its totient is φ = 417043200.

The previous prime is 1188013373. The next prime is 1188013423. The reversal of 1188013420 is 243108811.

It is a super-2 number, since 2×11880134202 = 2822751772200192800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1188013423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181810 + ... + 188230.

It is an arithmetic number, because the mean of its divisors is an integer number (39154934).

Almost surely, 21188013420 is an apocalyptic number.

1188013420 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 1188013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409577624).

1188013420 is an abundant number, since it is smaller than the sum of its proper divisors (1631141828).

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

1188013420 is a wasteful number, since it uses less digits than its factorization.

1188013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1188013420 is about 34467.5705555236. The cubic root of 1188013420 is about 1059.1084885689.

It can be divided in two parts, 118801 and 3420, that added together give a palindrome (122221).

The spelling of 1188013420 in words is "one billion, one hundred eighty-eight million, thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 841 1276 1595 1682 3190 3364 4205 6380 6421 8410 9251 12842 16820 18502 25684 32105 37004 46255 64210 70631 92510 128420 141262 185020 186209 282524 353155 372418 706310 744836 931045 1412620 1862090 2048299 3724180 4096598 5400061 8193196 10241495 10800122 20482990 21600244 27000305 40965980 54000610 59400671 108001220 118801342 237602684 297003355 594006710 1188013420