Search a number
-
+
14315280 = 243578521
BaseRepresentation
bin110110100110…
…111100010000
3222221021212120
4312212330100
512131042110
61230454240
7232451340
oct66467420
928837776
1014315280
118098311
124964380
132c72aa5
141c88d20
1513cb870
hexda6f10

14315280 has 80 divisors (see below), whose sum is σ = 50722944. Its totient is φ = 3271680.

The previous prime is 14315261. The next prime is 14315281. The reversal of 14315280 is 8251341.

14315280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 14315280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14315281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581 + ... + 5940.

Almost surely, 214315280 is an apocalyptic number.

14315280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14315280 is an abundant number, since it is smaller than the sum of its proper divisors (36407664).

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

14315280 is a wasteful number, since it uses less digits than its factorization.

14315280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8544 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 14315280 is about 3783.5538849077. The cubic root of 14315280 is about 242.8100261206.

The spelling of 14315280 in words is "fourteen million, three hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8521 17042 25563 34084 42605 51126 59647 68168 85210 102252 119294 127815 136336 170420 178941 204504 238588 255630 298235 340840 357882 409008 477176 511260 596470 681680 715764 894705 954352 1022520 1192940 1431528 1789410 2045040 2385880 2863056 3578820 4771760 7157640 14315280