Search a number
-
+
6406198260 = 223572111131753
BaseRepresentation
bin1011111011101011…
…01101001111110100
3121112110101120221020
411331311231033310
5101104441321020
62535403021140
7314515533600
oct57565551764
917473346836
106406198260
11279814a630
1212a950a7b0
137b129a677
1444ab48500
15277622c40
hex17dd6d3f4

6406198260 has 288 divisors, whose sum is σ = 22977343872. Its totient is φ = 1318625280.

The previous prime is 6406198259. The next prime is 6406198273. The reversal of 6406198260 is 628916046.

It is a super-2 number, since 2×64061982602 = 82078752292854055200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3653544 + ... + 3655296.

It is an arithmetic number, because the mean of its divisors is an integer number (79782444).

Almost surely, 26406198260 is an apocalyptic number.

6406198260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406198260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488671936).

6406198260 is an abundant number, since it is smaller than the sum of its proper divisors (16571145612).

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

6406198260 is a wasteful number, since it uses less digits than its factorization.

6406198260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 6406198260 is about 80038.7297500404. The cubic root of 6406198260 is about 1857.2347103569.

The spelling of 6406198260 in words is "six billion, four hundred six million, one hundred ninety-eight thousand, two hundred sixty".