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106487052 = 22378091567
BaseRepresentation
bin1100101100011…
…01110100001100
321102101002202220
412112031310030
5204230041202
614322215340
72432060610
oct626156414
9242332686
10106487052
1155122331
122b7b4550
13190a53b9
14101dd340
159536abc
hex658dd0c

106487052 has 48 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 30367872.

The previous prime is 106487047. The next prime is 106487063. The reversal of 106487052 is 250784601.

It is a super-2 number, since 2×1064870522 = 22678984487301408, which contains 22 as substring.

It is an unprimeable number.

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, 67173 + ... + 68739.

It is an arithmetic number, because the mean of its divisors is an integer number (5927040).

Almost surely, 2106487052 is an apocalyptic number.

106487052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106487052 is an abundant number, since it is smaller than the sum of its proper divisors (178010868).

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

106487052 is a wasteful number, since it uses less digits than its factorization.

106487052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 106487052 is about 10319.2563685568. The cubic root of 106487052 is about 473.9860951252.

The spelling of 106487052 in words is "one hundred six million, four hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 809 1567 1618 2427 3134 3236 4701 4854 5663 6268 9402 9708 10969 11326 16989 18804 21938 22652 32907 33978 43876 65814 67956 131628 1267703 2535406 3803109 5070812 7606218 8873921 15212436 17747842 26621763 35495684 53243526 106487052