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106546380 = 22353157283
BaseRepresentation
bin1100101100111…
…00010011001100
321102111010011020
412112130103030
5204233441010
614323354140
72432425563
oct626342314
9242433136
10106546380
1155162966
122b822950
13190c63c5
1410216bda
159549470
hex659c4cc

106546380 has 48 divisors (see below), whose sum is σ = 307958784. Its totient is φ = 27495360.

The previous prime is 106546369. The next prime is 106546381. The reversal of 106546380 is 83645601.

It is a super-2 number, since 2×1065463802 = 22704262182208800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106546381) 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 15 ways as a sum of consecutive naturals, for example, 26782 + ... + 30501.

It is an arithmetic number, because the mean of its divisors is an integer number (6415808).

Almost surely, 2106546380 is an apocalyptic number.

106546380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106546380 is an abundant number, since it is smaller than the sum of its proper divisors (201412404).

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

106546380 is a wasteful number, since it uses less digits than its factorization.

106546380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57326 (or 57324 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106546380 is about 10322.1305940198. The cubic root of 106546380 is about 474.0741040295.

The spelling of 106546380 in words is "one hundred six million, five hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 57283 114566 171849 229132 286415 343698 572830 687396 859245 1145660 1718490 1775773 3436980 3551546 5327319 7103092 8878865 10654638 17757730 21309276 26636595 35515460 53273190 106546380