Search a number
-
+
5340019040 = 255107379823
BaseRepresentation
bin1001111100100101…
…00011100101100000
3111210011012001222222
410332102203211200
541414021102130
62241515050212
7246221261426
oct47622434540
914704161888
105340019040
1122a0335384
121050440968
1367142baa5
143892d1116
15213c1cce5
hex13e4a3960

5340019040 has 96 divisors (see below), whose sum is σ = 12782810880. Its totient is φ = 2107897344.

The previous prime is 5340019021. The next prime is 5340019063. The reversal of 5340019040 is 409100435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6488069 + ... + 6488891.

It is an arithmetic number, because the mean of its divisors is an integer number (133154280).

Almost surely, 25340019040 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 5340019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391405440).

5340019040 is an abundant number, since it is smaller than the sum of its proper divisors (7442791840).

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

5340019040 is a wasteful number, since it uses less digits than its factorization.

5340019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5340019040 is about 73075.4339022356. The cubic root of 5340019040 is about 1747.8906874654.

Adding to 5340019040 its reverse (409100435), we get a palindrome (5749119475).

The spelling of 5340019040 in words is "five billion, three hundred forty million, nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 379 428 535 758 823 856 1070 1516 1646 1712 1895 2140 3032 3292 3424 3790 4115 4280 6064 6584 7580 8230 8560 12128 13168 15160 16460 17120 26336 30320 32920 40553 60640 65840 81106 88061 131680 162212 176122 202765 311917 324424 352244 405530 440305 623834 648848 704488 811060 880610 1247668 1297696 1408976 1559585 1622120 1761220 2495336 2817952 3119170 3244240 3522440 4990672 6238340 6488480 7044880 9981344 12476680 14089760 24953360 33375119 49906720 66750238 133500476 166875595 267000952 333751190 534001904 667502380 1068003808 1335004760 2670009520 5340019040