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106582036 = 22114356333
BaseRepresentation
bin1100101101001…
…01000000010100
321102112221001211
412112211000110
5204241111121
614324231204
72432634541
oct626450024
9242487054
10106582036
1155187730
122b83b504
13191096c2
1410225bc8
159554ce1
hex65a5014

106582036 has 24 divisors (see below), whose sum is σ = 208210464. Its totient is φ = 47318880.

The previous prime is 106582033. The next prime is 106582037. The reversal of 106582036 is 630285601.

It is a super-2 number, since 2×1065820362 = 22719460795810592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106581989 and 106582007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106582033) 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, 26275 + ... + 30058.

It is an arithmetic number, because the mean of its divisors is an integer number (8675436).

Almost surely, 2106582036 is an apocalyptic number.

It is an amenable number.

106582036 is a deficient number, since it is larger than the sum of its proper divisors (101628428).

106582036 is a wasteful number, since it uses less digits than its factorization.

106582036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56391 (or 56389 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 106582036 is about 10323.8576123463. The cubic root of 106582036 is about 474.1269814744.

The spelling of 106582036 in words is "one hundred six million, five hundred eighty-two thousand, thirty-six".

Divisors: 1 2 4 11 22 43 44 86 172 473 946 1892 56333 112666 225332 619663 1239326 2422319 2478652 4844638 9689276 26645509 53291018 106582036