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16106000 = 24538053
BaseRepresentation
bin111101011100…
…001000010000
31010022021021112
4331130020100
513110343000
61333112452
7253620161
oct75341020
933267245
1016106000
119100749
125488728
13344bba1
1421d3768
151632235
hexf5c210

16106000 has 40 divisors (see below), whose sum is σ = 38949144. Its totient is φ = 6441600.

The previous prime is 16105993. The next prime is 16106009. The reversal of 16106000 is 60161.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 16032016 = 272^2 + 4004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (16106009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2027 + ... + 6026.

Almost surely, 216106000 is an apocalyptic number.

16106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16106000 is an abundant number, since it is smaller than the sum of its proper divisors (22843144).

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

16106000 is an equidigital number, since it uses as much as digits as its factorization.

16106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8076 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 16106000 is about 4013.2281270817. The cubic root of 16106000 is about 252.5394507519.

Adding to 16106000 its reverse (60161), we get a palindrome (16166161).

The spelling of 16106000 in words is "sixteen million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 8053 16106 32212 40265 64424 80530 128848 161060 201325 322120 402650 644240 805300 1006625 1610600 2013250 3221200 4026500 8053000 16106000