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106282671 = 3117344119
BaseRepresentation
bin1100101010110…
…11111010101111
321101222201102020
412111123322233
5204202021141
614314001223
72430250005
oct625337257
9241881366
10106282671
1154aa2820
122b716213
1319033371
1410188a75
1594e6266
hex655beaf

106282671 has 16 divisors (see below), whose sum is σ = 156714240. Its totient is φ = 63529920.

The previous prime is 106282667. The next prime is 106282681. The reversal of 106282671 is 176282601.

It is not a de Polignac number, because 106282671 - 22 = 106282667 is a prime.

It is a super-2 number, since 2×1062826712 = 22592012309788482, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106282621) 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, 19651 + ... + 24468.

It is an arithmetic number, because the mean of its divisors is an integer number (9794640).

Almost surely, 2106282671 is an apocalyptic number.

106282671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106282671 is a deficient number, since it is larger than the sum of its proper divisors (50431569).

106282671 is a wasteful number, since it uses less digits than its factorization.

106282671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44206.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106282671 is about 10309.3487185176. The cubic root of 106282671 is about 473.6826598149.

It can be divided in two parts, 106282 and 671, that added together give a triangular number (106953 = T462).

The spelling of 106282671 in words is "one hundred six million, two hundred eighty-two thousand, six hundred seventy-one".

Divisors: 1 3 11 33 73 219 803 2409 44119 132357 485309 1455927 3220687 9662061 35427557 106282671