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14066640 = 2432572791
BaseRepresentation
bin110101101010…
…001111010000
3222110122210200
4311222033100
512100113030
61221255200
7230364420
oct65521720
928418720
1014066640
117a38525
124864500
132bb6873
141c22480
15137cd60
hexd6a3d0

14066640 has 120 divisors (see below), whose sum is σ = 54008448. Its totient is φ = 3214080.

The previous prime is 14066627. The next prime is 14066641. The reversal of 14066640 is 4666041.

14066640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14066641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3645 + ... + 6435.

Almost surely, 214066640 is an apocalyptic number.

14066640 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 14066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27004224).

14066640 is an abundant number, since it is smaller than the sum of its proper divisors (39941808).

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

14066640 is a wasteful number, since it uses less digits than its factorization.

14066640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14066640 is about 3750.5519593788. The cubic root of 14066640 is about 241.3960305002.

It can be divided in two parts, 14066 and 640, that added together give a triangular number (14706 = T171).

The spelling of 14066640 in words is "fourteen million, sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 2791 5040 5582 8373 11164 13955 16746 19537 22328 25119 27910 33492 39074 41865 44656 50238 55820 58611 66984 78148 83730 97685 100476 111640 117222 125595 133968 156296 167460 175833 195370 200952 223280 234444 251190 293055 312592 334920 351666 390740 401904 468888 502380 586110 669840 703332 781480 879165 937776 1004760 1172220 1406664 1562960 1758330 2009520 2344440 2813328 3516660 4688880 7033320 14066640