Search a number
-
+
106620660 = 22325592337
BaseRepresentation
bin1100101101011…
…10011011110100
321102121220001100
412112232123310
5204243330120
614325130100
72433155256
oct626563364
9242556040
10106620660
1155203753
122b859930
1319121163
1410235cd6
159561490
hex65ae6f4

106620660 has 36 divisors (see below), whose sum is σ = 323416548. Its totient is φ = 28432128.

The previous prime is 106620601. The next prime is 106620667. The reversal of 106620660 is 66026601.

It can be written as a sum of positive squares in 2 ways, for example, as 43322724 + 63297936 = 6582^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1066206602 = 22735930277671200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106620667) 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, 295989 + ... + 296348.

It is an arithmetic number, because the mean of its divisors is an integer number (8983793).

Almost surely, 2106620660 is an apocalyptic number.

106620660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106620660 is an abundant number, since it is smaller than the sum of its proper divisors (216795888).

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

106620660 is a wasteful number, since it uses less digits than its factorization.

106620660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592352 (or 592347 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106620660 is about 10325.7280614976. The cubic root of 106620660 is about 474.1842471249.

The spelling of 106620660 in words is "one hundred six million, six hundred twenty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 592337 1184674 1777011 2369348 2961685 3554022 5331033 5923370 7108044 8885055 10662066 11846740 17770110 21324132 26655165 35540220 53310330 106620660