Search a number
-
+
106059486 = 23132359119
BaseRepresentation
bin1100101001001…
…01011011011110
321101120101021010
412110211123132
5204122400421
614305120050
72425330221
oct624453336
9241511233
10106059486
1154960075
122b629026
1318c858c0
141012b5b8
1594a0076
hex65256de

106059486 has 32 divisors (see below), whose sum is σ = 238371840. Its totient is φ = 31214304.

The previous prime is 106059479. The next prime is 106059487. The reversal of 106059486 is 684950601.

It is a super-2 number, since 2×1060594862 = 22497229141168392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106059487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27766 + ... + 31353.

It is an arithmetic number, because the mean of its divisors is an integer number (7449120).

Almost surely, 2106059486 is an apocalyptic number.

106059486 is an abundant number, since it is smaller than the sum of its proper divisors (132312354).

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

106059486 is a wasteful number, since it uses less digits than its factorization.

106059486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59160.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 106059486 is about 10298.5186313372. The cubic root of 106059486 is about 473.3508623851.

The spelling of 106059486 in words is "one hundred six million, fifty-nine thousand, four hundred eighty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 59119 118238 177357 354714 768547 1359737 1537094 2305641 2719474 4079211 4611282 8158422 17676581 35353162 53029743 106059486