Search a number
-
+
14529480 = 233573353
BaseRepresentation
bin110111011011…
…001111001000
31000100011200220
4313123033020
512204420410
61235230040
7234333000
oct67331710
930304626
1014529480
118224239
124a48320
133019434
141d03000
151420070
hexddb3c8

14529480 has 128 divisors (see below), whose sum is σ = 50976000. Its totient is φ = 3311616.

The previous prime is 14529467. The next prime is 14529499. The reversal of 14529480 is 8492541.

It is a super-2 number, since 2×145294802 = 422211578140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40984 + ... + 41336.

It is an arithmetic number, because the mean of its divisors is an integer number (398250).

Almost surely, 214529480 is an apocalyptic number.

14529480 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 14529480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25488000).

14529480 is an abundant number, since it is smaller than the sum of its proper divisors (36446520).

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

14529480 is a wasteful number, since it uses less digits than its factorization.

14529480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 14529480 is about 3811.7555010782. The cubic root of 14529480 is about 244.0150935750.

The spelling of 14529480 in words is "fourteen million, five hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 353 392 420 490 588 686 706 735 840 980 1029 1059 1176 1372 1412 1470 1715 1765 1960 2058 2118 2471 2744 2824 2940 3430 3530 4116 4236 4942 5145 5295 5880 6860 7060 7413 8232 8472 9884 10290 10590 12355 13720 14120 14826 17297 19768 20580 21180 24710 29652 34594 37065 41160 42360 49420 51891 59304 69188 74130 86485 98840 103782 121079 138376 148260 172970 207564 242158 259455 296520 345940 363237 415128 484316 518910 605395 691880 726474 968632 1037820 1210790 1452948 1816185 2075640 2421580 2905896 3632370 4843160 7264740 14529480