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14825680 = 245473943
BaseRepresentation
bin111000100011…
…100011010000
31000220020000021
4320203203100
512243410210
61245433224
7240005362
oct70434320
930806007
1014825680
118406831
124b6b814
1330c11bc
141d7cd32
15147cbda
hexe238d0

14825680 has 40 divisors (see below), whose sum is σ = 35212032. Its totient is φ = 5802624.

The previous prime is 14825677. The next prime is 14825687. The reversal of 14825680 is 8652841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14825687) 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, 1789 + ... + 5731.

Almost surely, 214825680 is an apocalyptic number.

14825680 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 14825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606016).

14825680 is an abundant number, since it is smaller than the sum of its proper divisors (20386352).

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

14825680 is a wasteful number, since it uses less digits than its factorization.

14825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 14825680 is about 3850.4129648649. The cubic root of 14825680 is about 245.6621267639.

The spelling of 14825680 in words is "fourteen million, eight hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 3943 7886 15772 19715 31544 39430 63088 78860 157720 185321 315440 370642 741284 926605 1482568 1853210 2965136 3706420 7412840 14825680