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106932393 = 354311021
BaseRepresentation
bin1100101111110…
…10100010101001
321110012201200000
412113322202221
5204333314033
614335533213
72435624151
oct627724251
9243181600
10106932393
11553a6987
122b98a209
1319200009
14102b7761
1595c3a13
hex65fa8a9

106932393 has 24 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 71053200.

The previous prime is 106932377. The next prime is 106932421. The reversal of 106932393 is 393239601.

It is a happy number.

It is not a de Polignac number, because 106932393 - 24 = 106932377 is a prime.

It is a super-2 number, since 2×1069323932 = 22869073345412898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106932373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104223 + ... + 105243.

It is an arithmetic number, because the mean of its divisors is an integer number (6696144).

Almost surely, 2106932393 is an apocalyptic number.

It is an amenable number.

106932393 is a deficient number, since it is larger than the sum of its proper divisors (53775063).

106932393 is an equidigital number, since it uses as much as digits as its factorization.

106932393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 106932393 is about 10340.8120087351. The cubic root of 106932393 is about 474.6459307837.

The spelling of 106932393 in words is "one hundred six million, nine hundred thirty-two thousand, three hundred ninety-three".

Divisors: 1 3 9 27 81 243 431 1021 1293 3063 3879 9189 11637 27567 34911 82701 104733 248103 440051 1320153 3960459 11881377 35644131 106932393