Search a number
-
+
6128500 = 2253717103
BaseRepresentation
bin10111011000001101110100
3102112100201111
4113120031310
53032103000
6335204404
7103043230
oct27301564
912470644
106128500
113506484
122076704
131367641
14b575c0
15810cba
hex5d8374

6128500 has 96 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 1958400.

The previous prime is 6128491. The next prime is 6128501. The reversal of 6128500 is 58216.

It is a happy number.

6128500 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

6128500 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59449 + ... + 59551.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 26128500 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 6128500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896).

6128500 is an abundant number, since it is smaller than the sum of its proper divisors (10225292).

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

6128500 is a wasteful number, since it uses less digits than its factorization.

6128500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 6128500 is about 2475.5807399477. The cubic root of 6128500 is about 183.0001293956. Note that the first 3 decimals are identical.

It can be divided in two parts, 61 and 28500, that added together give a 4-th power (28561 = 134).

The spelling of 6128500 in words is "six million, one hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 103 119 125 140 170 175 206 238 250 340 350 412 425 476 500 515 595 700 721 850 875 1030 1190 1442 1700 1750 1751 2060 2125 2380 2575 2884 2975 3500 3502 3605 4250 5150 5950 7004 7210 8500 8755 10300 11900 12257 12875 14420 14875 17510 18025 24514 25750 29750 35020 36050 43775 49028 51500 59500 61285 72100 87550 90125 122570 175100 180250 218875 245140 306425 360500 437750 612850 875500 1225700 1532125 3064250 6128500