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14000040 = 2334529149
BaseRepresentation
bin110101011001…
…111110101000
3222100021110000
4311121332220
512041000130
61220023000
7226666305
oct65317650
928307400
1014000040
1179a248a
124831a60
132b92462
141c060ac
151368260
hexd59fa8

14000040 has 160 divisors (see below), whose sum is σ = 49005000. Its totient is φ = 3580416.

The previous prime is 14000033. The next prime is 14000059. The reversal of 14000040 is 4000041.

It can be written as a sum of positive squares in 4 ways, for example, as 8608356 + 5391684 = 2934^2 + 2322^2 .

It is a super-2 number, since 2×140000402 = 392002240003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 13999986 and 14000031.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93886 + ... + 94034.

Almost surely, 214000040 is an apocalyptic number.

14000040 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 14000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502500).

14000040 is an abundant number, since it is smaller than the sum of its proper divisors (35004960).

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

14000040 is a wasteful number, since it uses less digits than its factorization.

14000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14000040 is about 3741.6627319950. The cubic root of 14000040 is about 241.0144559547.

Adding to 14000040 its reverse (4000041), we get a palindrome (18000081).

Subtracting from 14000040 its reverse (4000041), we obtain a palindrome (9999999).

The spelling of 14000040 in words is "fourteen million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 149 162 174 180 216 232 261 270 290 298 324 348 360 405 435 447 522 540 580 596 648 696 745 783 810 870 894 1044 1080 1160 1192 1305 1341 1490 1566 1620 1740 1788 2088 2235 2349 2610 2682 2980 3132 3240 3480 3576 3915 4023 4321 4470 4698 5220 5364 5960 6264 6705 7830 8046 8642 8940 9396 10440 10728 11745 12069 12963 13410 15660 16092 17284 17880 18792 20115 21605 23490 24138 25926 26820 31320 32184 34568 38889 40230 43210 46980 48276 51852 53640 60345 64815 77778 80460 86420 93960 96552 103704 116667 120690 129630 155556 160920 172840 194445 233334 241380 259260 311112 350001 388890 466668 482760 518520 583335 700002 777780 933336 1166670 1400004 1555560 1750005 2333340 2800008 3500010 4666680 7000020 14000040