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5203927040 = 21351329337
BaseRepresentation
bin1001101100010110…
…11010000000000000
3111102200002212212112
410312023122000000
541124201131130
62220214114452
7242646435644
oct46613320000
914380085775
105203927040
112230532454
12101294ba28
1364c18c490
143751c6c24
15206cd9495
hex1362da000

5203927040 has 224 divisors, whose sum is σ = 13954384080. Its totient is φ = 1849688064.

The previous prime is 5203927039. The next prime is 5203927063. The reversal of 5203927040 is 407293025.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 833130496 + 4370796544 = 28864^2 + 66112^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5203926988 and 5203927006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15441752 + ... + 15442088.

Almost surely, 25203927040 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 5203927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977192040).

5203927040 is an abundant number, since it is smaller than the sum of its proper divisors (8750457040).

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

5203927040 is a wasteful number, since it uses less digits than its factorization.

5203927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5203927040 is about 72138.2494935939. The cubic root of 5203927040 is about 1732.9142234562.

The spelling of 5203927040 in words is "five billion, two hundred three million, nine hundred twenty-seven thousand, forty".