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1420247340 = 22325192631579
BaseRepresentation
bin101010010100111…
…0100000100101100
310122222110001002100
41110221310010230
510402040403330
6352532455100
750123621541
oct12451640454
93588401070
101420247340
11669768936
1233777a490
1319831a655
14d68a2bc8
1584a44060
hex54a7412c

1420247340 has 144 divisors (see below), whose sum is σ = 4554950400. Its totient is φ = 357208704.

The previous prime is 1420247317. The next prime is 1420247347. The reversal of 1420247340 is 437420241.

It is not an unprimeable number, because it can be changed into a prime (1420247347) 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 47 ways as a sum of consecutive naturals, for example, 898671 + ... + 900249.

It is an arithmetic number, because the mean of its divisors is an integer number (31631600).

Almost surely, 21420247340 is an apocalyptic number.

1420247340 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 1420247340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277475200).

1420247340 is an abundant number, since it is smaller than the sum of its proper divisors (3134703060).

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

1420247340 is a wasteful number, since it uses less digits than its factorization.

1420247340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1420247340 is about 37686.1690809772. The cubic root of 1420247340 is about 1124.0561208961.

Adding to 1420247340 its reverse (437420241), we get a palindrome (1857667581).

The spelling of 1420247340 in words is "one billion, four hundred twenty million, two hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 263 285 342 380 526 570 684 789 855 1052 1140 1315 1578 1579 1710 2367 2630 3156 3158 3420 3945 4734 4737 4997 5260 6316 7890 7895 9468 9474 9994 11835 14211 14991 15780 15790 18948 19988 23670 23685 24985 28422 29982 30001 31580 44973 47340 47370 49970 56844 59964 60002 71055 74955 89946 90003 94740 99940 120004 142110 149910 150005 179892 180006 224865 270009 284220 299820 300010 360012 415277 449730 450015 540018 600020 830554 899460 900030 1080036 1245831 1350045 1661108 1800060 2076385 2491662 2700090 3737493 4152770 4983324 5400180 6229155 7474986 7890263 8305540 12458310 14949972 15780526 18687465 23670789 24916620 31561052 37374930 39451315 47341578 71012367 74749860 78902630 94683156 118353945 142024734 157805260 236707890 284049468 355061835 473415780 710123670 1420247340