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5406605460 = 2232530036697
BaseRepresentation
bin1010000100100001…
…00100000010010100
3111221210111000101200
411002100210002110
542033042333320
62252254152500
7250660250064
oct50220440224
914853430350
105406605460
112324984783
12106a7b2730
13682173939
143940a53a4
152199c2290
hex142424094

5406605460 has 36 divisors (see below), whose sum is σ = 16400037108. Its totient is φ = 1441761408.

The previous prime is 5406605417. The next prime is 5406605513. The reversal of 5406605460 is 645066045.

It is a happy number.

5406605460 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 605 + 46 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4031234064 + 1375371396 = 63492^2 + 37086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 15018169 + ... + 15018528.

Almost surely, 25406605460 is an apocalyptic number.

It is an amenable number.

5406605460 is an abundant number, since it is smaller than the sum of its proper divisors (10993431648).

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

5406605460 is a wasteful number, since it uses less digits than its factorization.

5406605460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30036712 (or 30036707 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5406605460 is about 73529.6230100495. The cubic root of 5406605460 is about 1755.1257026382.

The spelling of 5406605460 in words is "five billion, four hundred six million, six hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 30036697 60073394 90110091 120146788 150183485 180220182 270330273 300366970 360440364 450550455 540660546 600733940 901100910 1081321092 1351651365 1802201820 2703302730 5406605460