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14052240 = 2432529673
BaseRepresentation
bin110101100110…
…101110010000
3222102221001100
4311212232100
512044132430
61221104400
7230304426
oct65465620
928387040
1014052240
117a28724
124858100
132bb0147
141c1b116
151378960
hexd66b90

14052240 has 120 divisors (see below), whose sum is σ = 48891960. Its totient is φ = 3612672.

The previous prime is 14052221. The next prime is 14052253. The reversal of 14052240 is 4225041.

14052240 is a `hidden beast` number, since 140 + 522 + 4 + 0 = 666.

14052240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 831744 + 13220496 = 912^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 20544 + ... + 21216.

It is an arithmetic number, because the mean of its divisors is an integer number (407433).

Almost surely, 214052240 is an apocalyptic number.

14052240 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 14052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24445980).

14052240 is an abundant number, since it is smaller than the sum of its proper divisors (34839720).

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

14052240 is a wasteful number, since it uses less digits than its factorization.

14052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14052240 is about 3748.6317503857. The cubic root of 14052240 is about 241.3136301148.

Adding to 14052240 its reverse (4225041), we get a palindrome (18277281).

The spelling of 14052240 in words is "fourteen million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 673 696 720 870 1044 1160 1305 1346 1392 1740 2019 2088 2320 2610 2692 3365 3480 4038 4176 5220 5384 6057 6730 6960 8076 10095 10440 10768 12114 13460 16152 19517 20190 20880 24228 26920 30285 32304 39034 40380 48456 53840 58551 60570 78068 80760 96912 97585 117102 121140 156136 161520 175653 195170 234204 242280 292755 312272 351306 390340 468408 484560 585510 702612 780680 878265 936816 1171020 1405224 1561360 1756530 2342040 2810448 3513060 4684080 7026120 14052240