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5406208920 = 233457238369
BaseRepresentation
bin1010000100011110…
…00011001110011000
3111221202201212110000
411002033003032120
542032442141140
62252241453000
7250654006020
oct50217031630
914852655400
105406208920
112324733862
12106a641160
136820652b8
14394000a80
15219944a30
hex1423c3398

5406208920 has 160 divisors (see below), whose sum is σ = 20766794400. Its totient is φ = 1235699712.

The previous prime is 5406208891. The next prime is 5406208933. The reversal of 5406208920 is 298026045.

It is a happy number.

5406208920 is a `hidden beast` number, since 5 + 4 + 0 + 620 + 8 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96505 + ... + 141864.

It is an arithmetic number, because the mean of its divisors is an integer number (129792465).

Almost surely, 25406208920 is an apocalyptic number.

It is an amenable number.

5406208920 is an abundant number, since it is smaller than the sum of its proper divisors (15360585480).

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

5406208920 is a wasteful number, since it uses less digits than its factorization.

5406208920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238399 (or 238386 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5406208920 is about 73526.9264963523. The cubic root of 5406208920 is about 1755.0827925001.

The spelling of 5406208920 in words is "five billion, four hundred six million, two hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 238369 476738 715107 953476 1191845 1430214 1668583 1906952 2145321 2383690 2860428 3337166 3575535 4290642 4767380 5005749 5720856 6435963 6674332 7151070 8342915 8581284 9534760 10011498 10726605 12871926 13348664 14302140 15017247 16685830 17162568 19307889 20022996 21453210 25028745 25743852 28604280 30034494 32179815 33371660 38615778 40045992 42906420 45051741 50057490 51487704 60068988 64359630 66743320 75086235 77231556 85812840 90103482 96539445 100114980 120137976 128719260 135155223 150172470 154463112 180206964 193078890 200229960 225258705 257438520 270310446 300344940 360413928 386157780 450517410 540620892 600689880 675776115 772315560 901034820 1081241784 1351552230 1802069640 2703104460 5406208920