Search a number
-
+
6132126 = 23711131021
BaseRepresentation
bin10111011001000110011110
3102112112200210
4113121012132
53032212001
6335233250
7103056630
oct27310636
912475623
106132126
113509180
122078826
1313691a0
14b58a50
15811dd6
hex5d919e

6132126 has 64 divisors (see below), whose sum is σ = 16482816. Its totient is φ = 1468800.

The previous prime is 6132109. The next prime is 6132127. The reversal of 6132126 is 6212316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6132127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5496 + ... + 6516.

It is an arithmetic number, because the mean of its divisors is an integer number (257544).

Almost surely, 26132126 is an apocalyptic number.

6132126 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6132126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408).

6132126 is an abundant number, since it is smaller than the sum of its proper divisors (10350690).

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

6132126 is a wasteful number, since it uses less digits than its factorization.

6132126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057.

The product of its digits is 432, while the sum is 21.

The square root of 6132126 is about 2476.3129850647. The cubic root of 6132126 is about 183.0362136819.

The spelling of 6132126 in words is "six million, one hundred thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1021 2002 2042 3003 3063 6006 6126 7147 11231 13273 14294 21441 22462 26546 33693 39819 42882 67386 78617 79638 92911 146003 157234 185822 235851 278733 292006 438009 471702 557466 876018 1022021 2044042 3066063 6132126