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5290941240 = 23325135383257
BaseRepresentation
bin1001110110101110…
…10101101100111000
3111122201211122220200
410323113111230320
541313440104430
62233003122200
7245054154444
oct47327255470
914581748820
105290941240
112275664512
121037b13360
13664207380
14382997824
1520e776460
hex13b5d5b38

5290941240 has 384 divisors, whose sum is σ = 19169317440. Its totient is φ = 1257504768.

The previous prime is 5290941223. The next prime is 5290941241. The reversal of 5290941240 is 421490925.

5290941240 is a `hidden beast` number, since 529 + 0 + 9 + 4 + 124 + 0 = 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 = 5290941195 and 5290941204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5290941241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20587192 + ... + 20587448.

Almost surely, 25290941240 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 5290941240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9584658720).

5290941240 is an abundant number, since it is smaller than the sum of its proper divisors (13878376200).

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

5290941240 is a wasteful number, since it uses less digits than its factorization.

5290941240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5290941240 is about 72738.8564661282. The cubic root of 5290941240 is about 1742.5194970877.

It can be divided in two parts, 52909 and 41240, that added together give a palindrome (94149).

The spelling of 5290941240 in words is "five billion, two hundred ninety million, nine hundred forty-one thousand, two hundred forty".