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14146600 = 2352135441
BaseRepresentation
bin110101111101…
…110000101000
3222121201111011
4311331300220
512110142400
61223113304
7231146506
oct65756050
928551434
1014146600
117a92606
1248a2834
132c14090
141c43676
1513968ba
hexd7dc28

14146600 has 48 divisors (see below), whose sum is σ = 35427420. Its totient is φ = 5222400.

The previous prime is 14146591. The next prime is 14146619. The reversal of 14146600 is 664141.

It can be written as a sum of positive squares in 6 ways, for example, as 4072324 + 10074276 = 2018^2 + 3174^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 121 + ... + 5320.

Almost surely, 214146600 is an apocalyptic number.

14146600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14146600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713710).

14146600 is an abundant number, since it is smaller than the sum of its proper divisors (21280820).

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

14146600 is a wasteful number, since it uses less digits than its factorization.

14146600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 14146600 is about 3761.1966180991. The cubic root of 14146600 is about 241.8525614218.

The spelling of 14146600 in words is "fourteen million, one hundred forty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 5441 10882 21764 27205 43528 54410 70733 108820 136025 141466 217640 272050 282932 353665 544100 565864 707330 1088200 1414660 1768325 2829320 3536650 7073300 14146600