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5134026240 = 293757131
BaseRepresentation
bin1001100100000001…
…10000011000000000
3111020210120120000000
410302000300120000
541003302314430
62205240000000
7241140334350
oct46200603000
914223516000
105134026240
1121a50299a2
12bb3460000
1363a856b65
14369bccb60
15200acce60
hex132030600

5134026240 has 640 divisors, whose sum is σ = 21260067840. Its totient is φ = 1164533760.

The previous prime is 5134026221. The next prime is 5134026241. The reversal of 5134026240 is 426204315.

5134026240 is a `hidden beast` number, since 5 + 1 + 34 + 0 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134026241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190975 + ... + 39191105.

It is an arithmetic number, because the mean of its divisors is an integer number (33218856).

Almost surely, 25134026240 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 5134026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630033920).

5134026240 is an abundant number, since it is smaller than the sum of its proper divisors (16126041600).

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

5134026240 is an frugal number, since it uses more digits than its factorization.

5134026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5134026240 is about 71652.1195778604. The cubic root of 5134026240 is about 1725.1202033439.

The spelling of 5134026240 in words is "five billion, one hundred thirty-four million, twenty-six thousand, two hundred forty".