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106487772 = 22354716223
BaseRepresentation
bin1100101100011…
…01111111011100
321102101010202120
412112031333130
5204230102042
614322222540
72432062656
oct626157734
9242333676
10106487772
1155122926
122b7b4a50
13190a5821
14101dd6d6
159536dec
hex658dfdc

106487772 has 24 divisors (see below), whose sum is σ = 248941056. Its totient is φ = 35428848.

The previous prime is 106487749. The next prime is 106487807. The reversal of 106487772 is 277784601.

It is a super-2 number, since 2×1064877722 = 22679291171047968, 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, 1548 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (10372544).

Almost surely, 2106487772 is an apocalyptic number.

106487772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106487772 is an abundant number, since it is smaller than the sum of its proper divisors (142453284).

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

106487772 is a wasteful number, since it uses less digits than its factorization.

106487772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16777 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 106487772 is about 10319.2912547326. The cubic root of 106487772 is about 473.9871633904.

The spelling of 106487772 in words is "one hundred six million, four hundred eighty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 547 1094 1641 2188 3282 6564 16223 32446 48669 64892 97338 194676 8873981 17747962 26621943 35495924 53243886 106487772