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106428 = 22372181
BaseRepresentation
bin11001111110111100
312101222210
4121332330
511401203
62140420
7622200
oct317674
9171883
10106428
1172a63
1251710
133959a
142ab00
1521803
hex19fbc

106428 has 36 divisors (see below), whose sum is σ = 290472. Its totient is φ = 30240.

The previous prime is 106427. The next prime is 106433. The reversal of 106428 is 824601.

It is a super-2 number, since 2×1064282 = 22653838368, which contains 22 as substring.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106428.

It is not an unprimeable number, because it can be changed into a prime (106427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 678.

2106428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145236).

106428 is an abundant number, since it is smaller than the sum of its proper divisors (184044).

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

106428 is a wasteful number, since it uses less digits than its factorization.

106428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106428 is about 326.2330455365. The cubic root of 106428 is about 47.3898463180.

It can be divided in two parts, 1064 and 28, that multiplied together give a palindrome (29792).

The spelling of 106428 in words is "one hundred six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 181 196 294 362 543 588 724 1086 1267 2172 2534 3801 5068 7602 8869 15204 17738 26607 35476 53214 106428