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106460424 = 23327211231
BaseRepresentation
bin1100101100001…
…11010100001000
321102022202020200
412112013110020
5204223213144
614321452200
72431620150
oct626072410
9242282220
10106460424
1155104324
122b7a1060
1319096245
14101d3760
15952dc69
hex6587508

106460424 has 48 divisors (see below), whose sum is σ = 329521920. Its totient is φ = 30417120.

The previous prime is 106460407. The next prime is 106460437. The reversal of 106460424 is 424064601.

106460424 is a `hidden beast` number, since 10 + 646 + 0 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×1064604242 = 22667643756519552, 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 11 ways as a sum of consecutive naturals, for example, 105112 + ... + 106119.

It is an arithmetic number, because the mean of its divisors is an integer number (6865040).

Almost surely, 2106460424 is an apocalyptic number.

106460424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106460424 is an abundant number, since it is smaller than the sum of its proper divisors (223061496).

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

106460424 is a wasteful number, since it uses less digits than its factorization.

106460424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211250 (or 211243 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106460424 is about 10317.9660786417. The cubic root of 106460424 is about 473.9465837365.

The spelling of 106460424 in words is "one hundred six million, four hundred sixty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 211231 422462 633693 844924 1267386 1478617 1689848 1901079 2534772 2957234 3802158 4435851 5069544 5914468 7604316 8871702 11828936 13307553 15208632 17743404 26615106 35486808 53230212 106460424