[go: up one dir, main page]

Search a number
-
+
6285900 = 2235223911
BaseRepresentation
bin10111111110101001001100
3102211100122010
4113332221030
53102122100
6342421220
7104300145
oct27765114
912740563
106285900
113603765
122131810
1313c118a
14b98acc
15842750
hex5fea4c

6285900 has 72 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 1601600.

The previous prime is 6285899. The next prime is 6285907. The reversal of 6285900 is 95826.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6285907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6445 + ... + 7355.

It is an arithmetic number, because the mean of its divisors is an integer number (263872).

Almost surely, 26285900 is an apocalyptic number.

6285900 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 6285900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

6285900 is an abundant number, since it is smaller than the sum of its proper divisors (12712884).

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

6285900 is a wasteful number, since it uses less digits than its factorization.

6285900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 6285900 is about 2507.1697190258. The cubic root of 6285900 is about 184.5535864207.

The spelling of 6285900 in words is "six million, two hundred eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 911 1150 1380 1725 1822 2300 2733 3450 3644 4555 5466 6900 9110 10932 13665 18220 20953 22775 27330 41906 45550 54660 62859 68325 83812 91100 104765 125718 136650 209530 251436 273300 314295 419060 523825 628590 1047650 1257180 1571475 2095300 3142950 6285900