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14731400 = 2352731009
BaseRepresentation
bin111000001100…
…100010001000
31000201102200102
4320030202020
512232401100
61243424532
7236133455
oct70144210
930642612
1014731400
118351a12
124b25148
13308a308
141d5682c
15145ecd5
hexe0c888

14731400 has 48 divisors (see below), whose sum is σ = 34754100. Its totient is φ = 5806080.

The previous prime is 14731397. The next prime is 14731427. The reversal of 14731400 is 413741.

It can be written as a sum of positive squares in 6 ways, for example, as 4401604 + 10329796 = 2098^2 + 3214^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14096 + ... + 15104.

Almost surely, 214731400 is an apocalyptic number.

14731400 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 14731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377050).

14731400 is an abundant number, since it is smaller than the sum of its proper divisors (20022700).

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

14731400 is a wasteful number, since it uses less digits than its factorization.

14731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 14731400 is about 3838.1505963159. The cubic root of 14731400 is about 245.1402778509.

The spelling of 14731400 in words is "fourteen million, seven hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1009 1460 1825 2018 2920 3650 4036 5045 7300 8072 10090 14600 20180 25225 40360 50450 73657 100900 147314 201800 294628 368285 589256 736570 1473140 1841425 2946280 3682850 7365700 14731400