Search a number
-
+
280013472 = 25323073167
BaseRepresentation
bin10000101100001…
…010101010100000
3201111220011021100
4100230022222200
51033140412342
643441354400
76640034544
oct2054125240
9644804240
10280013472
111340732a2
1279938a00
134602085b
142928da24
15198b1e4c
hex10b0aaa0

280013472 has 72 divisors (see below), whose sum is σ = 799134336. Its totient is φ = 93004416.

The previous prime is 280013429. The next prime is 280013509. The reversal of 280013472 is 274310082.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86833 + ... + 89999.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2280013472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399567168).

280013472 is an abundant number, since it is smaller than the sum of its proper divisors (519120864).

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

280013472 is a wasteful number, since it uses less digits than its factorization.

280013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 280013472 is about 16733.6030788351. The cubic root of 280013472 is about 654.2237542040.

The spelling of 280013472 in words is "two hundred eighty million, thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1842 2456 2763 3167 3684 4912 5526 6334 7368 9501 9824 11052 12668 14736 19002 22104 25336 28503 29472 38004 44208 50672 57006 76008 88416 101344 114012 152016 228024 304032 456048 912096 972269 1944538 2916807 3889076 5833614 7778152 8750421 11667228 15556304 17500842 23334456 31112608 35001684 46668912 70003368 93337824 140006736 280013472