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106665582 = 231719232393
BaseRepresentation
bin1100101101110…
…01011001101110
321102201011200010
412112321121232
5204301244312
614330114050
72433433242
oct626713156
9242634603
10106665582
1155234481
122b87b926
131913873a
1410248422
15956e93c
hex65b966e

106665582 has 64 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 30311424.

The previous prime is 106665551. The next prime is 106665589. The reversal of 106665582 is 285566601.

It is a super-2 number, since 2×1066655822 = 22755092766797448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106665582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106665589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43378 + ... + 45770.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2106665582 is an apocalyptic number.

106665582 is an abundant number, since it is smaller than the sum of its proper divisors (141544338).

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

106665582 is a wasteful number, since it uses less digits than its factorization.

106665582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 106665582 is about 10327.9030785537. The cubic root of 106665582 is about 474.2508330751.

The spelling of 106665582 in words is "one hundred six million, six hundred sixty-five thousand, five hundred eighty-two".

Divisors: 1 2 3 6 17 19 23 34 38 46 51 57 69 102 114 138 323 391 437 646 782 874 969 1173 1311 1938 2346 2393 2622 4786 7179 7429 14358 14858 22287 40681 44574 45467 55039 81362 90934 110078 122043 136401 165117 244086 272802 330234 772939 935663 1045741 1545878 1871326 2091482 2318817 2806989 3137223 4637634 5613978 6274446 17777597 35555194 53332791 106665582