Search a number
-
+
14621460 = 22357311123
BaseRepresentation
bin110111110001…
…101100010100
31000111211212120
4313301230110
512220341320
61241215540
7235165110
oct67615424
930454776
1014621460
118287357
124a915b0
13304c269
141d28740
15143c440
hexdf1b14

14621460 has 96 divisors (see below), whose sum is σ = 48340992. Its totient is φ = 3231360.

The previous prime is 14621459. The next prime is 14621473. The reversal of 14621460 is 6412641.

It is a self number, because there is not a number n which added to its sum of digits gives 14621460.

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, 12459 + ... + 13581.

It is an arithmetic number, because the mean of its divisors is an integer number (503552).

Almost surely, 214621460 is an apocalyptic number.

14621460 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 14621460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170496).

14621460 is an abundant number, since it is smaller than the sum of its proper divisors (33719532).

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

14621460 is a wasteful number, since it uses less digits than its factorization.

14621460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14621460 is about 3823.8017731049. The cubic root of 14621460 is about 244.5289296275.

The spelling of 14621460 in words is "fourteen million, six hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1123 1302 1860 2170 2246 2604 3255 3369 4340 4492 5615 6510 6738 7861 11230 13020 13476 15722 16845 22460 23583 31444 33690 34813 39305 47166 67380 69626 78610 94332 104439 117915 139252 157220 174065 208878 235830 243691 348130 417756 471660 487382 522195 696260 731073 974764 1044390 1218455 1462146 2088780 2436910 2924292 3655365 4873820 7310730 14621460