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6129942 = 23713103109
BaseRepresentation
bin10111011000100100010110
3102112102200220
4113120210112
53032124232
6335215210
7103050360
oct27304426
912472626
106129942
113507575
122077506
1313681b0
14b57d30
1581142c
hex5d8916

6129942 has 64 divisors (see below), whose sum is σ = 15375360. Its totient is φ = 1586304.

The previous prime is 6129919. The next prime is 6129947. The reversal of 6129942 is 2499216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6129947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56184 + ... + 56292.

It is an arithmetic number, because the mean of its divisors is an integer number (240240).

Almost surely, 26129942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6129942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687680).

6129942 is an abundant number, since it is smaller than the sum of its proper divisors (9245418).

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

6129942 is a wasteful number, since it uses less digits than its factorization.

6129942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237.

The product of its digits is 7776, while the sum is 33.

The square root of 6129942 is about 2475.8719676106. The cubic root of 6129942 is about 183.0144812214.

It can be divided in two parts, 61 and 29942, that added together give a palindrome (30003).

The spelling of 6129942 in words is "six million, one hundred twenty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 103 109 182 206 218 273 309 327 546 618 654 721 763 1339 1417 1442 1526 2163 2289 2678 2834 4017 4251 4326 4578 8034 8502 9373 9919 11227 18746 19838 22454 28119 29757 33681 56238 59514 67362 78589 145951 157178 235767 291902 437853 471534 875706 1021657 2043314 3064971 6129942