Search a number
-
+
14098240 = 265133389
BaseRepresentation
bin110101110001…
…111101000000
3222112021011001
4311301331000
512102120430
61222101344
7230555512
oct65617500
928467131
1014098240
117a5a242
12487a854
132bc8070
141c2dbb2
1513873ca
hexd71f40

14098240 has 56 divisors (see below), whose sum is σ = 36164520. Its totient is φ = 5203968.

The previous prime is 14098237. The next prime is 14098243. The reversal of 14098240 is 4289041.

14098240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14098237) and next prime (14098243).

It can be written as a sum of positive squares in 4 ways, for example, as 2483776 + 11614464 = 1576^2 + 3408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14098199 and 14098208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14098243) 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, 2466 + ... + 5854.

It is an arithmetic number, because the mean of its divisors is an integer number (645795).

Almost surely, 214098240 is an apocalyptic number.

14098240 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 14098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082260).

14098240 is an abundant number, since it is smaller than the sum of its proper divisors (22066280).

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

14098240 is a wasteful number, since it uses less digits than its factorization.

14098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 14098240 is about 3754.7623093879. The cubic root of 14098240 is about 241.5766566631.

The spelling of 14098240 in words is "fourteen million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 3389 4160 6778 13556 16945 27112 33890 44057 54224 67780 88114 108448 135560 176228 216896 220285 271120 352456 440570 542240 704912 881140 1084480 1409824 1762280 2819648 3524560 7049120 14098240