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1426020336 = 243313318191
BaseRepresentation
bin101010011111111…
…0101011111110000
310200101022100011000
41110333311133300
510410030122321
6353300322000
750223654456
oct12477653760
93611270130
101426020336
11671a51204
123396a3300
1319958c220
14d75669d6
15852d4826
hex54ff57f0

1426020336 has 160 divisors (see below), whose sum is σ = 4550819840. Its totient is φ = 424569600.

The previous prime is 1426020331. The next prime is 1426020353. The reversal of 1426020336 is 6330206241.

1426020336 is a `hidden beast` number, since 1 + 426 + 0 + 203 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426020331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170001 + ... + 178191.

It is an arithmetic number, because the mean of its divisors is an integer number (28442624).

Almost surely, 21426020336 is an apocalyptic number.

1426020336 is a gapful number since it is divisible by the number (16) 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 1426020336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275409920).

1426020336 is an abundant number, since it is smaller than the sum of its proper divisors (3124799504).

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

1426020336 is a wasteful number, since it uses less digits than its factorization.

1426020336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1426020336 is about 37762.6844384771. The cubic root of 1426020336 is about 1125.5770763786.

Adding to 1426020336 its reverse (6330206241), we get a palindrome (7756226577).

It can be divided in two parts, 14260 and 20336, that added together give a square (34596 = 1862).

The spelling of 1426020336 in words is "one billion, four hundred twenty-six million, twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 4464 4836 5616 6448 6696 7254 8191 9672 10881 13392 14508 16382 19344 21762 24573 29016 32764 43524 49146 58032 65528 73719 87048 98292 106483 131056 147438 174096 196584 212966 221157 253921 294876 319449 393168 425932 442314 507842 589752 638898 761763 851864 884628 958347 1015684 1179504 1277796 1523526 1703728 1769256 1916694 2031368 2285289 2555592 2875041 3047052 3300973 3538512 3833388 4062736 4570578 5111184 5750082 6094104 6601946 6855867 7666776 9141156 9902919 11500164 12188208 13203892 13711734 15333552 18282312 19805838 23000328 26407784 27423468 29708757 36564624 39611676 46000656 52815568 54846936 59417514 79223352 89126271 109693872 118835028 158446704 178252542 237670056 356505084 475340112 713010168 1426020336