Search a number
-
+
6130140 = 2235711439
BaseRepresentation
bin10111011000100111011100
3102112102222020
4113120213130
53032131030
6335220140
7103051062
oct27304734
912472866
106130140
113507735
122077650
131368303
14b58032
15811510
hex5d89dc

6130140 has 48 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1610560.

The previous prime is 6130133. The next prime is 6130151. The reversal of 6130140 is 410316.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 26130140 is an apocalyptic number.

6130140 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 6130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

6130140 is an abundant number, since it is smaller than the sum of its proper divisors (11288100).

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

6130140 is a wasteful number, since it uses less digits than its factorization.

6130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6130140 is about 2475.9119532003. The cubic root of 6130140 is about 183.0164516847.

Adding to 6130140 its reverse (410316), we get a palindrome (6540456).

The spelling of 6130140 in words is "six million, one hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 1439 2130 2878 4260 4317 5756 7195 8634 14390 17268 21585 28780 43170 86340 102169 204338 306507 408676 510845 613014 1021690 1226028 1532535 2043380 3065070 6130140