Search a number
-
+
6015006 = 2332329167
BaseRepresentation
bin10110111100100000011110
3102022121001000
4112330200132
53014440011
6332531130
7102061314
oct26744036
912277030
106015006
113439188
122020aa6
131327a9a
14b280b4
157dc356
hex5bc81e

6015006 has 64 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1840608.

The previous prime is 6014999. The next prime is 6015007. The reversal of 6015006 is 6005106.

6015006 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 6015006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6015007) 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, 35935 + ... + 36101.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 26015006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6015006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

6015006 is an abundant number, since it is smaller than the sum of its proper divisors (8500194).

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

6015006 is a wasteful number, since it uses less digits than its factorization.

6015006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6015006 is about 2452.5509169026. The cubic root of 6015006 is about 181.8634204552.

The spelling of 6015006 in words is "six million, fifteen thousand, six".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 167 174 207 261 334 414 501 522 621 667 783 1002 1242 1334 1503 1566 2001 3006 3841 4002 4509 4843 6003 7682 9018 9686 11523 12006 14529 18009 23046 29058 34569 36018 43587 69138 87174 103707 111389 130761 207414 222778 261522 334167 668334 1002501 2005002 3007503 6015006