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14683120 = 245533463
BaseRepresentation
bin111000000000…
…101111110000
31000121222110021
4320000233300
512224324440
61242413224
7235542634
oct70005760
930558407
1014683120
118319711
124b01214
13307134a
141d42dc4
15145084a
hexe00bf0

14683120 has 40 divisors (see below), whose sum is σ = 34792416. Its totient is φ = 5760768.

The previous prime is 14683103. The next prime is 14683133. The reversal of 14683120 is 2138641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2509 + ... + 5971.

Almost surely, 214683120 is an apocalyptic number.

14683120 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 14683120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396208).

14683120 is an abundant number, since it is smaller than the sum of its proper divisors (20109296).

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

14683120 is a wasteful number, since it uses less digits than its factorization.

14683120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 14683120 is about 3831.8559471880. The cubic root of 14683120 is about 244.8721810017.

The spelling of 14683120 in words is "fourteen million, six hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 3463 4240 6926 13852 17315 27704 34630 55408 69260 138520 183539 277040 367078 734156 917695 1468312 1835390 2936624 3670780 7341560 14683120