Search a number
-
+
106469034 = 23729611433
BaseRepresentation
bin1100101100010…
…01011010101010
321102100012001120
412112021122222
5204224002114
614322000110
72431654230
oct626113252
9242305046
10106469034
115510a841
122b7a6036
131909a139
14101d6950
1595315a9
hex65896aa

106469034 has 64 divisors (see below), whose sum is σ = 256055040. Its totient is φ = 28869120.

The previous prime is 106469023. The next prime is 106469039. The reversal of 106469034 is 430964601.

It is a super-2 number, since 2×1064690342 = 22671310401786312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106468986 and 106469004.

It is not an unprimeable number, because it can be changed into a prime (106469039) 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, 73582 + ... + 75014.

It is an arithmetic number, because the mean of its divisors is an integer number (4000860).

Almost surely, 2106469034 is an apocalyptic number.

106469034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106469034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128027520).

106469034 is an abundant number, since it is smaller than the sum of its proper divisors (149586006).

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

106469034 is a wasteful number, since it uses less digits than its factorization.

106469034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 106469034 is about 10318.3833035995. The cubic root of 106469034 is about 473.9593602217.

The spelling of 106469034 in words is "one hundred six million, four hundred sixty-nine thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 61 87 122 174 183 203 366 406 427 609 854 1218 1281 1433 1769 2562 2866 3538 4299 5307 8598 10031 10614 12383 20062 24766 30093 37149 41557 60186 74298 83114 87413 124671 174826 249342 262239 290899 524478 581798 611891 872697 1223782 1745394 1835673 2534977 3671346 5069954 7604931 15209862 17744839 35489678 53234517 106469034