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26132106 = 237111319229
BaseRepresentation
bin110001110101…
…1111010001010
31211011122111210
41203223322022
523142211411
62332033550
7435055620
oct143537212
954148453
1026132106
1113829490
1289028b6
13554c5b0
143683510
152462ca6
hex18ebe8a

26132106 has 128 divisors (see below), whose sum is σ = 74188800. Its totient is φ = 5909760.

The previous prime is 26132063. The next prime is 26132107. The reversal of 26132106 is 60123162.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26132107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114000 + ... + 114228.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 226132106 is an apocalyptic number.

26132106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26132106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094400).

26132106 is an abundant number, since it is smaller than the sum of its proper divisors (48056694).

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

26132106 is a wasteful number, since it uses less digits than its factorization.

26132106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

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

The square root of 26132106 is about 5111.9571594449. The cubic root of 26132106 is about 296.7505075215.

Adding to 26132106 its reverse (60123162), we get a palindrome (86255268).

The spelling of 26132106 in words is "twenty-six million, one hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 7 11 13 14 19 21 22 26 33 38 39 42 57 66 77 78 91 114 133 143 154 182 209 229 231 247 266 273 286 399 418 429 458 462 494 546 627 687 741 798 858 1001 1254 1374 1463 1482 1603 1729 2002 2519 2717 2926 2977 3003 3206 3458 4351 4389 4809 5038 5187 5434 5954 6006 7557 8151 8702 8778 8931 9618 10374 13053 15114 16302 17633 17862 19019 20839 26106 30457 32747 35266 38038 41678 47861 52899 56563 57057 60914 62517 65494 91371 95722 98241 105798 113126 114114 125034 143583 169689 182742 196482 229229 287166 335027 339378 395941 458458 622193 670054 687687 791882 1005081 1187823 1244386 1375374 1866579 2010162 2375646 3733158 4355351 8710702 13066053 26132106