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1420047440 = 245747393
BaseRepresentation
bin101010010100100…
…0011010001010000
310122222001212212122
41110221003101100
510402013004230
6352524313412
750122130000
oct12451032120
93588055778
101420047440
11669641729
123376a2868
1319827a676
14d6850000
1584a04be5
hex54a43450

1420047440 has 100 divisors (see below), whose sum is σ = 3852170484. Its totient is φ = 486807552.

The previous prime is 1420047427. The next prime is 1420047449. The reversal of 1420047440 is 447400241.

It can be written as a sum of positive squares in 2 ways, for example, as 361456144 + 1058591296 = 19012^2 + 32536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420047449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188384 + ... + 195776.

Almost surely, 21420047440 is an apocalyptic number.

1420047440 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 1420047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926085242).

1420047440 is an abundant number, since it is smaller than the sum of its proper divisors (2432123044).

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

1420047440 is an frugal number, since it uses more digits than its factorization.

1420047440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 1420047440 is about 37683.5168210187. The cubic root of 1420047440 is about 1124.0033814060.

Adding to 1420047440 its reverse (447400241), we get a palindrome (1867447681).

The spelling of 1420047440 in words is "one billion, four hundred twenty million, forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2401 2744 3430 3920 4802 5488 6860 7393 9604 12005 13720 14786 19208 24010 27440 29572 36965 38416 48020 51751 59144 73930 96040 103502 118288 147860 192080 207004 258755 295720 362257 414008 517510 591440 724514 828016 1035020 1449028 1811285 2070040 2535799 2898056 3622570 4140080 5071598 5796112 7245140 10143196 12678995 14490280 17750593 20286392 25357990 28980560 35501186 40572784 50715980 71002372 88752965 101431960 142004744 177505930 202863920 284009488 355011860 710023720 1420047440