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106447320 = 23325753797
BaseRepresentation
bin1100101100001…
…00000111011000
321102022002021100
412112010013120
5204222303240
614321311400
72431534020
oct626040730
9242262240
10106447320
11550a54a1
122b795560
13190902a5
14101cca80
159529e30
hex65841d8

106447320 has 192 divisors, whose sum is σ = 403341120. Its totient is φ = 23841792.

The previous prime is 106447309. The next prime is 106447321. The reversal of 106447320 is 23744601.

106447320 is a `hidden beast` number, since 10 + 644 + 7 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×1064473202 = 22662063870364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106447321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 133162 + ... + 133958.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2106447320 is an apocalyptic number.

106447320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106447320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

106447320 is an abundant number, since it is smaller than the sum of its proper divisors (296893800).

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

106447320 is a wasteful number, since it uses less digits than its factorization.

106447320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 106447320 is about 10317.3310502281. The cubic root of 106447320 is about 473.9271372273.

It can be divided in two parts, 1064 and 47320, that added together give a palindrome (48384).

The spelling of 106447320 in words is "one hundred six million, four hundred forty-seven thousand, three hundred twenty".