Search a number
-
+
6259140 = 2233567173
BaseRepresentation
bin10111111000000111000100
3102202222221000
4113320013010
53100243030
6342053300
7104126136
oct27700704
912688830
106259140
113595648
12211a230
1313b1c44
14b8d056
15839860
hex5f81c4

6259140 has 96 divisors (see below), whose sum is σ = 19877760. Its totient is φ = 1634688.

The previous prime is 6259139. The next prime is 6259153. The reversal of 6259140 is 419526.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 36094 + ... + 36266.

It is an arithmetic number, because the mean of its divisors is an integer number (207060).

Almost surely, 26259140 is an apocalyptic number.

6259140 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 6259140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9938880).

6259140 is an abundant number, since it is smaller than the sum of its proper divisors (13618620).

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

6259140 is a wasteful number, since it uses less digits than its factorization.

6259140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6259140 is about 2501.8273321714. The cubic root of 6259140 is about 184.2913233246.

The spelling of 6259140 in words is "six million, two hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 173 180 201 268 270 335 346 402 519 540 603 670 692 804 865 1005 1038 1206 1340 1557 1730 1809 2010 2076 2412 2595 3015 3114 3460 3618 4020 4671 5190 6030 6228 7236 7785 9045 9342 10380 11591 12060 15570 18090 18684 23182 23355 31140 34773 36180 46364 46710 57955 69546 93420 104319 115910 139092 173865 208638 231820 312957 347730 417276 521595 625914 695460 1043190 1251828 1564785 2086380 3129570 6259140