Search a number
-
+
106256261 = 2917212129
BaseRepresentation
bin1100101010101…
…01011110000101
321101221101012002
412111111132011
5204200200021
614313235045
72430110006
oct625253605
9241841162
10106256261
1154a849a1
122b702a85
1319024337
141017d1ad
1594dd50b
hex6555785

106256261 has 8 divisors (see below), whose sum is σ = 110035800. Its totient is φ = 102484480.

The previous prime is 106256219. The next prime is 106256263. The reversal of 106256261 is 162652601.

It can be written as a sum of positive squares in 4 ways, for example, as 16120225 + 90136036 = 4015^2 + 9494^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106256261 - 26 = 106256197 is a prime.

It is a super-2 number, since 2×1062562612 = 22580786003400242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106256263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48845 + ... + 50973.

It is an arithmetic number, because the mean of its divisors is an integer number (13754475).

Almost surely, 2106256261 is an apocalyptic number.

It is an amenable number.

106256261 is a deficient number, since it is larger than the sum of its proper divisors (3779539).

106256261 is a wasteful number, since it uses less digits than its factorization.

106256261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 106256261 is about 10308.0677626799. The cubic root of 106256261 is about 473.6434216987.

The spelling of 106256261 in words is "one hundred six million, two hundred fifty-six thousand, two hundred sixty-one".

Divisors: 1 29 1721 2129 49909 61741 3664009 106256261