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5431434420 = 22351495411123
BaseRepresentation
bin1010000111011110…
…10001110010110100
3112000112012110022210
411003233101302310
542110421400140
62254542253420
7251411300526
oct50357216264
915015173283
105431434420
1123379a3085
121076b87270
13687358029
143974c9a16
1521bc78d80
hex143bd1cb4

5431434420 has 96 divisors (see below), whose sum is σ = 15352041600. Its totient is φ = 1434723840.

The previous prime is 5431434377. The next prime is 5431434439. The reversal of 5431434420 is 244341345.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4835979 + ... + 4837101.

It is an arithmetic number, because the mean of its divisors is an integer number (159917100).

Almost surely, 25431434420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7676020800).

5431434420 is an abundant number, since it is smaller than the sum of its proper divisors (9920607180).

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

5431434420 is a wasteful number, since it uses less digits than its factorization.

5431434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 5431434420 is about 73698.2660583002. The cubic root of 5431434420 is about 1757.8083105235.

Adding to 5431434420 its reverse (244341345), we get a palindrome (5675775765).

The spelling of 5431434420 in words is "five billion, four hundred thirty-one million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 541 596 745 894 1082 1123 1490 1623 1788 2164 2235 2246 2705 2980 3246 3369 4470 4492 5410 5615 6492 6738 8115 8940 10820 11230 13476 16230 16845 22460 32460 33690 67380 80609 161218 167327 241827 322436 334654 403045 483654 501981 607543 669308 806090 836635 967308 1003962 1209135 1215086 1612180 1673270 1822629 2007924 2418270 2430172 2509905 3037715 3346540 3645258 4836540 5019810 6075430 7290516 9113145 10039620 12150860 18226290 36452580 90523907 181047814 271571721 362095628 452619535 543143442 905239070 1086286884 1357858605 1810478140 2715717210 5431434420