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106849353 = 3133897043
BaseRepresentation
bin1100101111001…
…10010001001001
321110001111202110
412113212101021
5204323134403
614334052533
72435130102
oct627462111
9243044673
10106849353
115534a556
122b94a149
13191a1290
14102953a9
1595a9103
hex65e6449

106849353 has 16 divisors (see below), whose sum is σ = 153840960. Its totient is φ = 65575104.

The previous prime is 106849349. The next prime is 106849361. The reversal of 106849353 is 353948601.

It is not a de Polignac number, because 106849353 - 22 = 106849349 is a prime.

It is a super-2 number, since 2×1068493532 = 22833568473037218, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (106849313) by changing a digit.

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, 11650 + ... + 18692.

It is an arithmetic number, because the mean of its divisors is an integer number (9615060).

Almost surely, 2106849353 is an apocalyptic number.

106849353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106849353 is a deficient number, since it is larger than the sum of its proper divisors (46991607).

106849353 is a wasteful number, since it uses less digits than its factorization.

106849353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 106849353 is about 10336.7960703498. The cubic root of 106849353 is about 474.5230344251.

The spelling of 106849353 in words is "one hundred six million, eight hundred forty-nine thousand, three hundred fifty-three".

Divisors: 1 3 13 39 389 1167 5057 7043 15171 21129 91559 274677 2739727 8219181 35616451 106849353