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6135066 = 2327232973
BaseRepresentation
bin10111011001110100011010
3102112200201200
4113121310122
53032310231
6335255030
7103101330
oct27316432
912480650
106135066
113510403
12207a476
13136a622
14b59b50
15812be6
hex5d9d1a

6135066 has 96 divisors (see below), whose sum is σ = 16623360. Its totient is φ = 1596672.

The previous prime is 6135053. The next prime is 6135131. The reversal of 6135066 is 6605316.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84006 + ... + 84078.

It is an arithmetic number, because the mean of its divisors is an integer number (173160).

Almost surely, 26135066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6135066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311680).

6135066 is an abundant number, since it is smaller than the sum of its proper divisors (10488294).

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

6135066 is a wasteful number, since it uses less digits than its factorization.

6135066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6135066 is about 2476.9065384063. The cubic root of 6135066 is about 183.0654607701.

It can be divided in two parts, 61350 and 66, that added together give a palindrome (61416).

The spelling of 6135066 in words is "six million, one hundred thirty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 58 63 69 73 87 126 138 146 161 174 203 207 219 261 322 406 414 438 483 511 522 609 657 667 966 1022 1218 1314 1334 1449 1533 1679 1827 2001 2117 2898 3066 3358 3654 4002 4234 4599 4669 5037 6003 6351 9198 9338 10074 11753 12006 12702 14007 14819 15111 19053 23506 28014 29638 30222 35259 38106 42021 44457 48691 70518 84042 88914 97382 105777 133371 146073 211554 266742 292146 340837 438219 681674 876438 1022511 2045022 3067533 6135066