Search a number
-
+
6330120 = 23351729107
BaseRepresentation
bin11000001001011100001000
3102220121021220
4120021130020
53110030440
6343402040
7104543106
oct30113410
912817256
106330120
113633a05
122153320
131408344
14baac76
158508d0
hex609708

6330120 has 128 divisors (see below), whose sum is σ = 20995200. Its totient is φ = 1519616.

The previous prime is 6330119. The next prime is 6330131. The reversal of 6330120 is 210336.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6330120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59107 + ... + 59213.

It is an arithmetic number, because the mean of its divisors is an integer number (164025).

Almost surely, 26330120 is an apocalyptic number.

6330120 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 6330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497600).

6330120 is an abundant number, since it is smaller than the sum of its proper divisors (14665080).

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

6330120 is a wasteful number, since it uses less digits than its factorization.

6330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 6330120 is about 2515.9729728278. The cubic root of 6330120 is about 184.9853409373.

Adding to 6330120 its reverse (210336), we get a palindrome (6540456).

The spelling of 6330120 in words is "six million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 107 116 120 136 145 170 174 204 214 232 255 290 321 340 348 408 428 435 493 510 535 580 642 680 696 856 870 986 1020 1070 1160 1284 1479 1605 1740 1819 1972 2040 2140 2465 2568 2958 3103 3210 3480 3638 3944 4280 4930 5457 5916 6206 6420 7276 7395 9095 9309 9860 10914 11832 12412 12840 14552 14790 15515 18190 18618 19720 21828 24824 27285 29580 31030 36380 37236 43656 46545 52751 54570 59160 62060 72760 74472 93090 105502 109140 124120 158253 186180 211004 218280 263755 316506 372360 422008 527510 633012 791265 1055020 1266024 1582530 2110040 3165060 6330120