[go: up one dir, main page]

Search a number
-
+
14040180 = 223257111013
BaseRepresentation
bin110101100011…
…110001110100
3222102022111200
4311203301310
512043241210
61220532500
7230224320
oct65436164
928368450
1014040180
117a1a660
124851130
132ba77cb
141c16980
1513750c0
hexd63c74

14040180 has 144 divisors (see below), whose sum is σ = 53149824. Its totient is φ = 2914560.

The previous prime is 14040157. The next prime is 14040193. The reversal of 14040180 is 8104041.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13354 + ... + 14366.

It is an arithmetic number, because the mean of its divisors is an integer number (369096).

Almost surely, 214040180 is an apocalyptic number.

14040180 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 14040180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26574912).

14040180 is an abundant number, since it is smaller than the sum of its proper divisors (39109644).

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

14040180 is a wasteful number, since it uses less digits than its factorization.

14040180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14040180 is about 3747.0228181851. The cubic root of 14040180 is about 241.2445764663.

The spelling of 14040180 in words is "fourteen million, forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1013 1155 1260 1386 1540 1980 2026 2310 2772 3039 3465 4052 4620 5065 6078 6930 7091 9117 10130 11143 12156 13860 14182 15195 18234 20260 21273 22286 28364 30390 33429 35455 36468 42546 44572 45585 55715 60780 63819 66858 70910 78001 85092 91170 100287 106365 111430 127638 133716 141820 156002 167145 182340 200574 212730 222860 234003 255276 312004 319095 334290 390005 401148 425460 468006 501435 638190 668580 702009 780010 936012 1002870 1170015 1276380 1404018 1560020 2005740 2340030 2808036 3510045 4680060 7020090 14040180