Search a number
-
+
106428575 = 52112151233
BaseRepresentation
bin1100101011111…
…11100010011111
321102021010120002
412111333202133
5204221203300
614321044515
72431425251
oct625774237
9242233502
10106428575
1155092400
122b78673b
13190848b6
14101c5cd1
1595245d5
hex657f89f

106428575 has 36 divisors (see below), whose sum is σ = 146646864. Its totient is φ = 76560000.

The previous prime is 106428559. The next prime is 106428577. The reversal of 106428575 is 575824601.

It is not a de Polignac number, because 106428575 - 24 = 106428559 is a prime.

It is a super-2 number, since 2×1064285752 = 22654083153061250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106428577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 456659 + ... + 456891.

It is an arithmetic number, because the mean of its divisors is an integer number (4073524).

Almost surely, 2106428575 is an apocalyptic number.

106428575 is a deficient number, since it is larger than the sum of its proper divisors (40218289).

106428575 is a wasteful number, since it uses less digits than its factorization.

106428575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 106428575 is about 10316.4225873119. The cubic root of 106428575 is about 473.8993166248.

The spelling of 106428575 in words is "one hundred six million, four hundred twenty-eight thousand, five hundred seventy-five".

Divisors: 1 5 11 25 55 121 151 233 275 605 755 1165 1661 2563 3025 3775 5825 8305 12815 18271 28193 35183 41525 64075 91355 140965 175915 387013 456775 704825 879575 1935065 4257143 9675325 21285715 106428575