Search a number
-
+
6481900 = 2252531223
BaseRepresentation
bin11000101110011111101100
3110012022111101
4120232133230
53124410100
6350532444
7106044445
oct30563754
913168441
106481900
113727a47
122207124
13145c459
14c0a2cc
1588086a
hex62e7ec

6481900 has 36 divisors (see below), whose sum is σ = 14342832. Its totient is φ = 2541760.

The previous prime is 6481873. The next prime is 6481927. The reversal of 6481900 is 91846.

It is an interprime number because it is at equal distance from previous prime (6481873) and next prime (6481927).

It is a super-2 number, since 2×64819002 = 84030055220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4689 + ... + 5911.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 26481900 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 6481900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171416).

6481900 is an abundant number, since it is smaller than the sum of its proper divisors (7860932).

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

6481900 is a wasteful number, since it uses less digits than its factorization.

6481900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 6481900 is about 2545.9575801651. The cubic root of 6481900 is about 186.4521700018.

It can be divided in two parts, 6481 and 900, that added together give a triangular number (7381 = T121).

The spelling of 6481900 in words is "six million, four hundred eighty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1223 1325 2446 2650 4892 5300 6115 12230 24460 30575 61150 64819 122300 129638 259276 324095 648190 1296380 1620475 3240950 6481900