Search a number
-
+
106424660 = 22514813593
BaseRepresentation
bin1100101011111…
…10100101010100
321102020221012002
412111332211110
5204221042120
614321014432
72431410656
oct625764524
9242227162
10106424660
115508a471
122b784418
1319082b94
14101c46d6
159523375
hex657e954

106424660 has 24 divisors (see below), whose sum is σ = 223704936. Its totient is φ = 42529280.

The previous prime is 106424653. The next prime is 106424671. The reversal of 106424660 is 66424601.

It can be written as a sum of positive squares in 4 ways, for example, as 3888784 + 102535876 = 1972^2 + 10126^2 .

It is a super-2 number, since 2×1064246602 = 22652416512231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27824 + ... + 31416.

It is an arithmetic number, because the mean of its divisors is an integer number (9321039).

Almost surely, 2106424660 is an apocalyptic number.

106424660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106424660 is an abundant number, since it is smaller than the sum of its proper divisors (117280276).

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

106424660 is a wasteful number, since it uses less digits than its factorization.

106424660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 106424660 is about 10316.2328395592. The cubic root of 106424660 is about 473.8935057212.

The spelling of 106424660 in words is "one hundred six million, four hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 1481 2962 3593 5924 7186 7405 14372 14810 17965 29620 35930 71860 5321233 10642466 21284932 26606165 53212330 106424660