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1420032544 = 25724492017
BaseRepresentation
bin101010010100011…
…1111101000100000
310122222001010102221
41110220333220200
510402012020134
6352524120424
750122035400
oct12450775040
93588033387
101420032544
11669631517
12337696114
13198273958
14d6848800
1584a005b4
hex54a3fa20

1420032544 has 72 divisors (see below), whose sum is σ = 3260987100. Its totient is φ = 606928896.

The previous prime is 1420032529. The next prime is 1420032547. The reversal of 1420032544 is 4452300241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1335171600 + 84860944 = 36540^2 + 9212^2 .

It is a super-2 number, since 2×14200325442 = 4032984852038223872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1420032547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703024 + ... + 705040.

Almost surely, 21420032544 is an apocalyptic number.

1420032544 is a gapful number since it is divisible by the number (14) 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 1420032544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630493550).

1420032544 is an abundant number, since it is smaller than the sum of its proper divisors (1840954556).

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

1420032544 is a wasteful number, since it uses less digits than its factorization.

1420032544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1420032544 is about 37683.3191744039. The cubic root of 1420032544 is about 1123.9994512056. Note that the first 3 decimals are identical.

Adding to 1420032544 its reverse (4452300241), we get a palindrome (5872332785).

The spelling of 1420032544 in words is "one billion, four hundred twenty million, thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 449 784 898 1568 1796 2017 3143 3592 4034 6286 7184 8068 12572 14119 14368 16136 22001 25144 28238 32272 44002 50288 56476 64544 88004 98833 100576 112952 176008 197666 225904 352016 395332 451808 704032 790664 905633 1581328 1811266 3162656 3622532 6339431 7245064 12678862 14490128 25357724 28980256 44376017 50715448 88752034 101430896 177504068 202861792 355008136 710016272 1420032544