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14214240 = 253259871
BaseRepresentation
bin110110001110…
…010001100000
3222202011021100
4312032101200
512114323430
61224354400
7231550635
oct66162140
928664240
1014214240
118029407
124915a00
132c38ac1
141c6018c
1513ab960
hexd8e460

14214240 has 72 divisors (see below), whose sum is σ = 48511008. Its totient is φ = 3790080.

The previous prime is 14214203. The next prime is 14214289. The reversal of 14214240 is 4241241.

14214240 is a `hidden beast` number, since 1 + 421 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 3496 + ... + 6375.

It is an arithmetic number, because the mean of its divisors is an integer number (673764).

Almost surely, 214214240 is an apocalyptic number.

14214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214240 is an abundant number, since it is smaller than the sum of its proper divisors (34296768).

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

14214240 is a wasteful number, since it uses less digits than its factorization.

14214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14214240 is about 3770.1777146442. The cubic root of 14214240 is about 242.2374101647.

Adding to 14214240 its reverse (4241241), we get a palindrome (18455481).

The spelling of 14214240 in words is "fourteen million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9871 19742 29613 39484 49355 59226 78968 88839 98710 118452 148065 157936 177678 197420 236904 296130 315872 355356 394840 444195 473808 592260 710712 789680 888390 947616 1184520 1421424 1579360 1776780 2369040 2842848 3553560 4738080 7107120 14214240