Search a number
-
+
5406430190 = 257259187009
BaseRepresentation
bin1010000100011111…
…11001001111101110
3111221210011002222012
411002033321033232
542033021231230
62252250321222
7250655620100
oct50217711756
914853132865
105406430190
112324875027
12106a729212
13682111c25
1439405b570
1521998a395
hex1423f93ee

5406430190 has 48 divisors (see below), whose sum is σ = 11512335600. Its totient is φ = 1822205952.

The previous prime is 5406430189. The next prime is 5406430199. The reversal of 5406430190 is 910346045.

It is a super-2 number, since 2×54064301902 = 58458974798686872200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406430199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64595 + ... + 122414.

It is an arithmetic number, because the mean of its divisors is an integer number (239840325).

Almost surely, 25406430190 is an apocalyptic number.

5406430190 is an abundant number, since it is smaller than the sum of its proper divisors (6105905410).

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

5406430190 is a wasteful number, since it uses less digits than its factorization.

5406430190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187089 (or 187082 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5406430190 is about 73528.4311678143. The cubic root of 5406430190 is about 1755.1067366895.

The spelling of 5406430190 in words is "five billion, four hundred six million, four hundred thirty thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 59 70 98 118 245 295 413 490 590 826 2065 2891 4130 5782 14455 28910 187009 374018 935045 1309063 1870090 2618126 6545315 9163441 11033531 13090630 18326882 22067062 45817205 55167655 77234717 91634410 110335310 154469434 386173585 540643019 772347170 1081286038 2703215095 5406430190