Search a number
-
+
14450280 = 23351359157
BaseRepresentation
bin110111000111…
…111001101000
31000012011001120
4313013321220
512144402110
61233415240
7233553045
oct67077150
930164046
1014450280
11817a789
124a0a520
132cbc380
141cc21cc
151406870
hexdc7e68

14450280 has 128 divisors (see below), whose sum is σ = 47779200. Its totient is φ = 3474432.

The previous prime is 14450269. The next prime is 14450287. The reversal of 14450280 is 8205441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14450280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14450287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91962 + ... + 92118.

It is an arithmetic number, because the mean of its divisors is an integer number (373275).

Almost surely, 214450280 is an apocalyptic number.

14450280 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 14450280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889600).

14450280 is an abundant number, since it is smaller than the sum of its proper divisors (33328920).

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

14450280 is a wasteful number, since it uses less digits than its factorization.

14450280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14450280 is about 3801.3523909262. The cubic root of 14450280 is about 243.5709111865.

The spelling of 14450280 in words is "fourteen million, four hundred fifty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 59 60 65 78 104 118 120 130 156 157 177 195 236 260 295 312 314 354 390 471 472 520 590 628 708 767 780 785 885 942 1180 1256 1416 1534 1560 1570 1770 1884 2041 2301 2355 2360 3068 3140 3540 3768 3835 4082 4602 4710 6123 6136 6280 7080 7670 8164 9204 9263 9420 10205 11505 12246 15340 16328 18408 18526 18840 20410 23010 24492 27789 30615 30680 37052 40820 46020 46315 48984 55578 61230 74104 81640 92040 92630 111156 120419 122460 138945 185260 222312 240838 244920 277890 361257 370520 481676 555780 602095 722514 963352 1111560 1204190 1445028 1806285 2408380 2890056 3612570 4816760 7225140 14450280