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1206090340 = 2257133121377
BaseRepresentation
bin100011111100011…
…0111101001100100
310010001110201220121
41013320313221210
54432224342330
6315402411324
741613412240
oct10770675144
93101421817
101206090340
11569896584
12297b00b44
13162b47630
14b6277420
1570d4017a
hex47e37a64

1206090340 has 96 divisors (see below), whose sum is σ = 3217987584. Its totient is φ = 369377280.

The previous prime is 1206090329. The next prime is 1206090349. The reversal of 1206090340 is 430906021.

It is a super-3 number, since 3×12060903403 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1206090349) 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 31 ways as a sum of consecutive naturals, for example, 45732 + ... + 67108.

It is an arithmetic number, because the mean of its divisors is an integer number (33520704).

Almost surely, 21206090340 is an apocalyptic number.

1206090340 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 1206090340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608993792).

1206090340 is an abundant number, since it is smaller than the sum of its proper divisors (2011897244).

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

1206090340 is a wasteful number, since it uses less digits than its factorization.

1206090340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21437 (or 21435 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1206090340 is about 34728.8113819059. The cubic root of 1206090340 is about 1064.4533007830.

Adding to 1206090340 its reverse (430906021), we get a palindrome (1636996361).

It can be divided in two parts, 12060 and 90340, that added together give a square (102400 = 3202).

The spelling of 1206090340 in words is "one billion, two hundred six million, ninety thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2170 2821 4030 4340 5642 8060 11284 14105 21377 28210 42754 56420 85508 106885 149639 213770 277901 299278 427540 555802 598556 662687 748195 1111604 1325374 1389505 1496390 1945307 2650748 2779010 2992780 3313435 3890614 4638809 5558020 6626870 7781228 8614931 9277618 9726535 13253740 17229862 18555236 19453070 23194045 34459724 38906140 43074655 46388090 60304517 86149310 92776180 120609034 172298620 241218068 301522585 603045170 1206090340