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106088262 = 23717314793
BaseRepresentation
bin1100101001011…
…00011101000110
321101121211201220
412110230131012
5204124311022
614305501210
72425510140
oct624543506
9241554656
10106088262
115497a755
122b641806
1318c95a27
1410137c90
1594a885c
hex652c746

106088262 has 64 divisors (see below), whose sum is σ = 265089024. Its totient is φ = 27601920.

The previous prime is 106088261. The next prime is 106088299. The reversal of 106088262 is 262880601.

It is a super-2 number, since 2×1060882622 = 22509438668361288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106088261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19738 + ... + 24530.

It is an arithmetic number, because the mean of its divisors is an integer number (4142016).

Almost surely, 2106088262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106088262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132544512).

106088262 is an abundant number, since it is smaller than the sum of its proper divisors (159000762).

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

106088262 is a wasteful number, since it uses less digits than its factorization.

106088262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 106088262 is about 10299.9156307224. The cubic root of 106088262 is about 473.3936682771.

The spelling of 106088262 in words is "one hundred six million, eighty-eight thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 4793 7378 9586 11067 14379 22134 28758 33551 67102 81481 100653 148583 162962 201306 244443 297166 445749 488886 570367 891498 1040081 1140734 1711101 2080162 2525911 3120243 3422202 5051822 6240486 7577733 15155466 17681377 35362754 53044131 106088262