Search a number
-
+
106272531 = 3249124049
BaseRepresentation
bin1100101010110…
…01011100010011
321101222012111200
412111121130103
5204201210111
614313442243
72430205311
oct625313423
9241865450
10106272531
1154a96142
122b710383
131902b871
14101850b1
1594e3256
hex6559713

106272531 has 12 divisors (see below), whose sum is σ = 153823800. Its totient is φ = 70701120.

The previous prime is 106272487. The next prime is 106272541. The reversal of 106272531 is 135272601.

It is a happy number.

106272531 is a `hidden beast` number, since 1 + 0 + 62 + 72 + 531 = 666.

It is a de Polignac number, because none of the positive numbers 2k-106272531 is a prime.

It is a super-2 number, since 2×1062725312 = 22587701690291922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106272495 and 106272504.

It is not an unprimeable number, because it can be changed into a prime (106272541) 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, 7606 + ... + 16443.

It is an arithmetic number, because the mean of its divisors is an integer number (12818650).

Almost surely, 2106272531 is an apocalyptic number.

106272531 is a deficient number, since it is larger than the sum of its proper divisors (47551269).

106272531 is a wasteful number, since it uses less digits than its factorization.

106272531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24546 (or 24543 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106272531 is about 10308.8569201440. The cubic root of 106272531 is about 473.6675952866.

The spelling of 106272531 in words is "one hundred six million, two hundred seventy-two thousand, five hundred thirty-one".

Divisors: 1 3 9 491 1473 4419 24049 72147 216441 11808059 35424177 106272531