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106563393 = 3223587877
BaseRepresentation
bin1100101101000…
…00011101000001
321102111222111100
412112200131001
5204240012033
614324005013
72432526306
oct626403501
9242458440
10106563393
1155174722
122b830769
1319101081
141021d0ad
15954e513
hex65a0741

106563393 has 24 divisors (see below), whose sum is σ = 161074368. Its totient is φ = 67760352.

The previous prime is 106563389. The next prime is 106563397. The reversal of 106563393 is 393365601.

106563393 is a `hidden beast` number, since 1 + 0 + 6 + 563 + 3 + 93 = 666.

It is an interprime number because it is at equal distance from previous prime (106563389) and next prime (106563397).

It is not a de Polignac number, because 106563393 - 22 = 106563389 is a prime.

It is a super-2 number, since 2×1065633932 = 22711513455344898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106563397) 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 23 ways as a sum of consecutive naturals, for example, 121071 + ... + 121947.

It is an arithmetic number, because the mean of its divisors is an integer number (6711432).

Almost surely, 2106563393 is an apocalyptic number.

It is an amenable number.

106563393 is a deficient number, since it is larger than the sum of its proper divisors (54510975).

106563393 is a wasteful number, since it uses less digits than its factorization.

106563393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 106563393 is about 10322.9546642422. The cubic root of 106563393 is about 474.0993355875.

The spelling of 106563393 in words is "one hundred six million, five hundred sixty-three thousand, three hundred ninety-three".

Divisors: 1 3 9 23 69 207 587 877 1761 2631 5283 7893 13501 20171 40503 60513 121509 181539 514799 1544397 4633191 11840377 35521131 106563393