Search a number
-
+
5428008720 = 243352512967
BaseRepresentation
bin1010000111000100…
…01101011100010000
3112000021202102011000
411003202031130100
542104032234340
62254341022000
7251340212211
oct50342153420
915007672130
105428008720
112335a73322
1210759b4900
136867289a4
14396c77408
1521b7edd30
hex14388d710

5428008720 has 80 divisors (see below), whose sum is σ = 18696481920. Its totient is φ = 1447468416.

The previous prime is 5428008701. The next prime is 5428008731. The reversal of 5428008720 is 278008245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254324 + ... + 1258643.

It is an arithmetic number, because the mean of its divisors is an integer number (233706024).

Almost surely, 25428008720 is an apocalyptic number.

It is an amenable number.

5428008720 is an abundant number, since it is smaller than the sum of its proper divisors (13268473200).

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

5428008720 is a wasteful number, since it uses less digits than its factorization.

5428008720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512989 (or 2512977 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5428008720 is about 73675.0210044083. The cubic root of 5428008720 is about 1757.4386727257.

The spelling of 5428008720 in words is "five billion, four hundred twenty-eight million, eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2512967 5025934 7538901 10051868 12564835 15077802 20103736 22616703 25129670 30155604 37694505 40207472 45233406 50259340 60311208 67850109 75389010 90466812 100518680 113083515 120622416 135700218 150778020 180933624 201037360 226167030 271400436 301556040 339250545 361867248 452334060 542800872 603112080 678501090 904668120 1085601744 1357002180 1809336240 2714004360 5428008720