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5360275440 = 24345131719197
BaseRepresentation
bin1001111110111111…
…10100111111110000
3111211120022012120000
410333133310333300
541434212303230
62243521150000
7246555406122
oct47737647760
914746265500
105360275440
112300810303
12105718b300
136756a1b20
1438bc85212
152158beb60
hex13f7f4ff0

5360275440 has 800 divisors, whose sum is σ = 22459187520. Its totient is φ = 1170505728.

The previous prime is 5360275409. The next prime is 5360275477. The reversal of 5360275440 is 445720635.

5360275440 is a `hidden beast` number, since 5 + 3 + 602 + 7 + 5 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5360275395 and 5360275404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27209422 + ... + 27209618.

Almost surely, 25360275440 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 5360275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229593760).

5360275440 is an abundant number, since it is smaller than the sum of its proper divisors (17098912080).

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

5360275440 is a wasteful number, since it uses less digits than its factorization.

5360275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5360275440 is about 73213.9019585761. The cubic root of 5360275440 is about 1750.0980015865.

The spelling of 5360275440 in words is "five billion, three hundred sixty million, two hundred seventy-five thousand, four hundred forty".