Search a number
-
+
14096280 = 23351159181
BaseRepresentation
bin110101110001…
…011110011000
3222112011110110
4311301132120
512102040110
61222044320
7230550012
oct65613630
928464413
1014096280
117a58820
1248796a0
132bc71c3
141c2d1b2
151386a20
hexd71798

14096280 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3340800.

The previous prime is 14096261. The next prime is 14096293. The reversal of 14096280 is 8269041.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 77790 + ... + 77970.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 214096280 is an apocalyptic number.

14096280 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 14096280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14096280 is an abundant number, since it is smaller than the sum of its proper divisors (33078120).

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

14096280 is a wasteful number, since it uses less digits than its factorization.

14096280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14096280 is about 3754.5012984416. The cubic root of 14096280 is about 241.5654611240.

The spelling of 14096280 in words is "fourteen million, ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 181 220 236 264 295 330 354 362 440 472 543 590 649 660 708 724 885 905 1086 1180 1298 1320 1416 1448 1770 1810 1947 1991 2172 2360 2596 2715 3245 3540 3620 3894 3982 4344 5192 5430 5973 6490 7080 7240 7788 7964 9735 9955 10679 10860 11946 12980 15576 15928 19470 19910 21358 21720 23892 25960 29865 32037 38940 39820 42716 47784 53395 59730 64074 77880 79640 85432 106790 117469 119460 128148 160185 213580 234938 238920 256296 320370 352407 427160 469876 587345 640740 704814 939752 1174690 1281480 1409628 1762035 2349380 2819256 3524070 4698760 7048140 14096280