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16642106 = 213253929
BaseRepresentation
bin111111011111…
…000000111010
31011022111200022
4333133000322
513230021411
61352410442
7261312155
oct77370072
934274608
1016642106
119437508
1256a6a22
1335a8c00
1422d2c9c
1516daedb
hexfdf03a

16642106 has 24 divisors (see below), whose sum is σ = 27570780. Its totient is φ = 7527936.

The previous prime is 16642103. The next prime is 16642111. The reversal of 16642106 is 60124661.

16642106 = 2462 + 2472 + ... + 4012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 570025 + 16072081 = 755^2 + 4009^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16642103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17450 + ... + 18378.

Almost surely, 216642106 is an apocalyptic number.

16642106 is a deficient number, since it is larger than the sum of its proper divisors (10928674).

16642106 is a wasteful number, since it uses less digits than its factorization.

16642106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 16642106 is about 4079.4737405700. The cubic root of 16642106 is about 255.3109419761.

Adding to 16642106 its reverse (60124661), we get a palindrome (76766767).

It can be divided in two parts, 1664 and 2106, that multiplied together give a square (3504384 = 18722).

The spelling of 16642106 in words is "sixteen million, six hundred forty-two thousand, one hundred six".

Divisors: 1 2 13 26 53 106 169 338 689 929 1378 1858 8957 12077 17914 24154 49237 98474 157001 314002 640081 1280162 8321053 16642106