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5406374640 = 243541775393
BaseRepresentation
bin1010000100011111…
…01011101011110000
3111221210001021202210
411002033223223300
542033012442030
62252245212120
7250655266122
oct50217535360
914853037683
105406374640
112324837317
12106a701040
136820c2864
14394045212
15219978bb0
hex1423ebaf0

5406374640 has 80 divisors (see below), whose sum is σ = 16766882208. Its totient is φ = 1441087488.

The previous prime is 5406374587. The next prime is 5406374669. The reversal of 5406374640 is 464736045.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 999784 + ... + 1005176.

Almost surely, 25406374640 is an apocalyptic number.

It is an amenable number.

5406374640 is an abundant number, since it is smaller than the sum of its proper divisors (11360507568).

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

5406374640 is a wasteful number, since it uses less digits than its factorization.

5406374640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 5406374640 is about 73528.0534218063. The cubic root of 5406374640 is about 1755.1007255441.

The spelling of 5406374640 in words is "five billion, four hundred six million, three hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4177 5393 8354 10786 12531 16179 16708 20885 21572 25062 26965 32358 33416 41770 43144 50124 53930 62655 64716 66832 80895 83540 86288 100248 107860 125310 129432 161790 167080 200496 215720 250620 258864 323580 334160 431440 501240 647160 1002480 1294320 22526561 45053122 67579683 90106244 112632805 135159366 180212488 225265610 270318732 337898415 360424976 450531220 540637464 675796830 901062440 1081274928 1351593660 1802124880 2703187320 5406374640