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106390592 = 2671121589
BaseRepresentation
bin1100101011101…
…10010001000000
321102012012110022
412111312101000
5204213444332
614320153012
72431206440
oct625662100
9242165408
10106390592
1155066910
122b768768
1319070519
14101b6120
159518212
hex6576440

106390592 has 56 divisors (see below), whose sum is σ = 263225280. Its totient is φ = 41448960.

The previous prime is 106390561. The next prime is 106390621. The reversal of 106390592 is 295093601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1063905922 = 22637916132220928, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5867 + ... + 15722.

Almost surely, 2106390592 is an apocalyptic number.

It is an amenable number.

106390592 is an abundant number, since it is smaller than the sum of its proper divisors (156834688).

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

106390592 is a wasteful number, since it uses less digits than its factorization.

106390592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21619 (or 21609 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 106390592 is about 10314.5815232611. The cubic root of 106390592 is about 473.8429337111.

The spelling of 106390592 in words is "one hundred six million, three hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 21589 43178 86356 151123 172712 237479 302246 345424 474958 604492 690848 949916 1208984 1381696 1662353 1899832 2417968 3324706 3799664 4835936 6649412 7599328 9671872 13298824 15198656 26597648 53195296 106390592