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106429560 = 2335886913
BaseRepresentation
bin1100101011111…
…11110001111000
321102021011220120
412111333301320
5204221221220
614321053240
72431431156
oct625776170
9242234816
10106429560
1155093116
122b787220
1319085193
14101c63d6
159524a40
hex657fc78

106429560 has 32 divisors (see below), whose sum is σ = 319289040. Its totient is φ = 28381184.

The previous prime is 106429553. The next prime is 106429577. The reversal of 106429560 is 65924601.

It is a super-2 number, since 2×1064295602 = 22654502483587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443337 + ... + 443576.

Almost surely, 2106429560 is an apocalyptic number.

106429560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106429560 is an abundant number, since it is smaller than the sum of its proper divisors (212859480).

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

106429560 is a wasteful number, since it uses less digits than its factorization.

106429560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886927 (or 886923 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 106429560 is about 10316.4703266185. The cubic root of 106429560 is about 473.9007786050.

It can be divided in two parts, 10642 and 9560, that added together give a palindrome (20202).

The spelling of 106429560 in words is "one hundred six million, four hundred twenty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 886913 1773826 2660739 3547652 4434565 5321478 7095304 8869130 10642956 13303695 17738260 21285912 26607390 35476520 53214780 106429560