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5436432540 = 22325711392239
BaseRepresentation
bin1010001000000100…
…10110000010011100
3112000212121101110100
411010002112002130
542113211320130
62255241341100
7251501625360
oct50402260234
915025541410
105436432540
11233a7a7260
121078797790
136883b7cb6
1439802b2a0
1521c414c60
hex14409609c

5436432540 has 144 divisors (see below), whose sum is σ = 20559651840. Its totient is φ = 1129645440.

The previous prime is 5436432527. The next prime is 5436432541. The reversal of 5436432540 is 452346345.

5436432540 is a `hidden beast` number, since 5 + 4 + 3 + 643 + 2 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5436432495 and 5436432504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436432541) 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 47 ways as a sum of consecutive naturals, for example, 182260 + ... + 209979.

It is an arithmetic number, because the mean of its divisors is an integer number (142775360).

Almost surely, 25436432540 is an apocalyptic number.

It is an amenable number.

5436432540 is an abundant number, since it is smaller than the sum of its proper divisors (15123219300).

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

5436432540 is a wasteful number, since it uses less digits than its factorization.

5436432540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392272 (or 392267 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 5436432540 is about 73732.1676068187. The cubic root of 5436432540 is about 1758.3473359222.

Adding to 5436432540 its reverse (452346345), we get a palindrome (5888778885).

The spelling of 5436432540 in words is "five billion, four hundred thirty-six million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 392239 784478 1176717 1568956 1961195 2353434 2745673 3530151 3922390 4314629 4706868 5491346 5883585 7060302 7844780 8237019 8629258 10982692 11767170 12943887 13728365 14120604 16474038 17258516 17650755 21573145 23534340 24711057 25887774 27456730 30202403 32948076 35301510 38831661 41185095 43146290 49422114 51775548 54913460 60404806 64719435 70603020 77663322 82370190 86292580 90607209 98844228 120809612 123555285 129438870 151012015 155326644 164740380 181214418 194158305 247110570 258877740 271821627 302024030 362428836 388316610 453036045 494221140 543643254 604048060 776633220 906072090 1087286508 1359108135 1812144180 2718216270 5436432540