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14237040 = 2435137433
BaseRepresentation
bin110110010011…
…110101110000
3222210022112210
4312103311300
512121041130
61225052120
7232004256
oct66236560
928708483
1014237040
118044554
124927040
132c462ac
141c685d6
1513b35b0
hexd93d70

14237040 has 80 divisors (see below), whose sum is σ = 44559648. Its totient is φ = 3760128.

The previous prime is 14237039. The next prime is 14237051. The reversal of 14237040 is 4073241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14236998 and 14237016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32664 + ... + 33096.

Almost surely, 214237040 is an apocalyptic number.

14237040 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 14237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22279824).

14237040 is an abundant number, since it is smaller than the sum of its proper divisors (30322608).

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

14237040 is a wasteful number, since it uses less digits than its factorization.

14237040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 14237040 is about 3773.2002332238. The cubic root of 14237040 is about 242.3668592843.

The spelling of 14237040 in words is "fourteen million, two hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 433 548 685 822 866 1096 1299 1370 1644 1732 2055 2165 2192 2598 2740 3288 3464 4110 4330 5196 5480 6495 6576 6928 8220 8660 10392 10960 12990 16440 17320 20784 25980 32880 34640 51960 59321 103920 118642 177963 237284 296605 355926 474568 593210 711852 889815 949136 1186420 1423704 1779630 2372840 2847408 3559260 4745680 7118520 14237040