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14412900 = 22352107449
BaseRepresentation
bin110110111110…
…110001100100
31000010020210010
4312332301210
512142203100
61232530220
7233336055
oct66766144
930106703
1014412900
118154697
1249b0970
132ca8358
141cb272c
1513ea750
hexdbec64

14412900 has 72 divisors (see below), whose sum is σ = 42184800. Its totient is φ = 3799040.

The previous prime is 14412877. The next prime is 14412917. The reversal of 14412900 is 921441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31876 + ... + 32324.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 214412900 is an apocalyptic number.

14412900 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 14412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092400).

14412900 is an abundant number, since it is smaller than the sum of its proper divisors (27771900).

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

14412900 is a wasteful number, since it uses less digits than its factorization.

14412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14412900 is about 3796.4325359474. The cubic root of 14412900 is about 243.3607066639.

The spelling of 14412900 in words is "fourteen million, four hundred twelve thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 449 535 642 898 1070 1284 1347 1605 1796 2140 2245 2675 2694 3210 4490 5350 5388 6420 6735 8025 8980 10700 11225 13470 16050 22450 26940 32100 33675 44900 48043 67350 96086 134700 144129 192172 240215 288258 480430 576516 720645 960860 1201075 1441290 2402150 2882580 3603225 4804300 7206450 14412900