Search a number
-
+
6330960 = 24345977
BaseRepresentation
bin11000001001101001010000
3102220122110000
4120021221100
53110042320
6343410000
7104545416
oct30115120
912818400
106330960
1136345a9
122153900
13140883c
14bab2b6
15850c90
hex609a50

6330960 has 100 divisors (see below), whose sum is σ = 22010868. Its totient is φ = 1686528.

The previous prime is 6330941. The next prime is 6330967. The reversal of 6330960 is 690336.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 1971216 = 2088^2 + 1404^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6330967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5992 + ... + 6968.

Almost surely, 26330960 is an apocalyptic number.

6330960 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 6330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11005434).

6330960 is an abundant number, since it is smaller than the sum of its proper divisors (15679908).

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

6330960 is a wasteful number, since it uses less digits than its factorization.

6330960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 6330960 is about 2516.1399007209. The cubic root of 6330960 is about 184.9935230262.

The spelling of 6330960 in words is "six million, three hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 977 1080 1296 1620 1954 2160 2931 3240 3908 4885 5862 6480 7816 8793 9770 11724 14655 15632 17586 19540 23448 26379 29310 35172 39080 43965 46896 52758 58620 70344 78160 79137 87930 105516 117240 131895 140688 158274 175860 211032 234480 263790 316548 351720 395685 422064 527580 633096 703440 791370 1055160 1266192 1582740 2110320 3165480 6330960