Search a number
-
+
14138560 = 2651723113
BaseRepresentation
bin110101111011…
…110011000000
3222121022110101
4311323303000
512104413220
61223012144
7231114202
oct65736300
928538411
1014138560
117a87567
12489a054
132c10517
141c40772
15139430a
hexd7bcc0

14138560 has 112 divisors (see below), whose sum is σ = 37526976. Its totient is φ = 5046272.

The previous prime is 14138549. The next prime is 14138569. The reversal of 14138560 is 6583141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14138569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125064 + ... + 125176.

Almost surely, 214138560 is an apocalyptic number.

14138560 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 14138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763488).

14138560 is an abundant number, since it is smaller than the sum of its proper divisors (23388416).

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

14138560 is a wasteful number, since it uses less digits than its factorization.

14138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 14138560 is about 3760.1276574074. The cubic root of 14138560 is about 241.8067350257.

The spelling of 14138560 in words is "fourteen million, one hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 113 115 136 160 170 184 226 230 272 320 340 368 391 452 460 544 565 680 736 782 904 920 1088 1130 1360 1472 1564 1808 1840 1921 1955 2260 2599 2720 3128 3616 3680 3842 3910 4520 5198 5440 6256 7232 7360 7684 7820 9040 9605 10396 12512 12995 15368 15640 18080 19210 20792 25024 25990 30736 31280 36160 38420 41584 44183 51980 61472 62560 76840 83168 88366 103960 122944 125120 153680 166336 176732 207920 220915 307360 353464 415840 441830 614720 706928 831680 883660 1413856 1767320 2827712 3534640 7069280 14138560