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5290125120 = 263357233803
BaseRepresentation
bin1001110110101000…
…01110011101000000
3111122200022012102000
410323110032131000
541313233000440
62232533424000
7245044215210
oct47324163500
914580265360
105290125120
112275157335
12103779b000
13663caca67
14382824240
1520e664730
hex13b50e740

5290125120 has 448 divisors, whose sum is σ = 22261616640. Its totient is φ = 1156294656.

The previous prime is 5290125089. The next prime is 5290125121. The reversal of 5290125120 is 215210925.

5290125120 is a `hidden beast` number, since 52 + 90 + 12 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (5290125121) 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, 1389139 + ... + 1392941.

Almost surely, 25290125120 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 5290125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130808320).

5290125120 is an abundant number, since it is smaller than the sum of its proper divisors (16971491520).

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

5290125120 is a wasteful number, since it uses less digits than its factorization.

5290125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5290125120 is about 72733.2463183103. The cubic root of 5290125120 is about 1742.4298987804.

The spelling of 5290125120 in words is "five billion, two hundred ninety million, one hundred twenty-five thousand, one hundred twenty".