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106436220 = 223511161267
BaseRepresentation
bin1100101100000…
…01011001111100
321102021112001020
412112001121330
5204221424340
614321144140
72431456452
oct626013174
9242245036
10106436220
1155098120
122b78b050
1319088217
14101c89d2
1595269d0
hex658167c

106436220 has 48 divisors (see below), whose sum is σ = 325116288. Its totient is φ = 25802560.

The previous prime is 106436179. The next prime is 106436251. The reversal of 106436220 is 22634601.

It is a super-2 number, since 2×1064362202 = 22657337855776800, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79974 + ... + 81293.

It is an arithmetic number, because the mean of its divisors is an integer number (6773256).

Almost surely, 2106436220 is an apocalyptic number.

106436220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106436220 is an abundant number, since it is smaller than the sum of its proper divisors (218680068).

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

106436220 is a wasteful number, since it uses less digits than its factorization.

106436220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161290 (or 161288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106436220 is about 10316.7931063873. The cubic root of 106436220 is about 473.9106634319.

The spelling of 106436220 in words is "one hundred six million, four hundred thirty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 161267 322534 483801 645068 806335 967602 1612670 1773937 1935204 2419005 3225340 3547874 4838010 5321811 7095748 8869685 9676020 10643622 17739370 21287244 26609055 35478740 53218110 106436220