Search a number
-
+
5671460340 = 223257131512293
BaseRepresentation
bin1010100100000101…
…11001110111110100
3112122020212000222200
411102002321313310
543103343212330
62334435024500
7260354421540
oct52202716764
915566760880
105671460340
112450434107
12112343b130
136c4cb78c0
143bb32aa20
15232d8ca60
hex1520b9df4

5671460340 has 288 divisors, whose sum is σ = 21322968576. Its totient is φ = 1188172800.

The previous prime is 5671460329. The next prime is 5671460351. The reversal of 5671460340 is 430641765.

It is a happy number.

5671460340 is a `hidden beast` number, since 5 + 6 + 7 + 1 + 4 + 603 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5671460329) and next prime (5671460351).

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 = 5671460295 and 5671460304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2472234 + ... + 2474526.

Almost surely, 25671460340 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 5671460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661484288).

5671460340 is an abundant number, since it is smaller than the sum of its proper divisors (15651508236).

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

5671460340 is a wasteful number, since it uses less digits than its factorization.

5671460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5671460340 is about 75309.0986534828. The cubic root of 5671460340 is about 1783.3296616999.

The spelling of 5671460340 in words is "five billion, six hundred seventy-one million, four hundred sixty thousand, three hundred forty".