Search a number
-
+
28080240 = 2435235087
BaseRepresentation
bin110101100011…
…1100001110000
31221211121211220
41223013201300
524142031430
62441505040
7460451406
oct153074160
957747756
1028080240
111493a111
1294a2180
135a82236
143a2d476
1526ea110
hex1ac7870

28080240 has 80 divisors (see below), whose sum is σ = 90851328. Its totient is φ = 7161088.

The previous prime is 28080229. The next prime is 28080257. The reversal of 28080240 is 4208082.

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 28080240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2977 + ... + 8063.

Almost surely, 228080240 is an apocalyptic number.

28080240 is a gapful number since it is divisible by the number (20) 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 28080240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45425664).

28080240 is an abundant number, since it is smaller than the sum of its proper divisors (62771088).

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

28080240 is a wasteful number, since it uses less digits than its factorization.

28080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28080240 is about 5299.0791652890. The cubic root of 28080240 is about 303.9486870918.

The spelling of 28080240 in words is "twenty-eight million, eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5087 5520 10174 15261 20348 25435 30522 40696 50870 61044 76305 81392 101740 117001 122088 152610 203480 234002 244176 305220 351003 406960 468004 585005 610440 702006 936008 1170010 1220880 1404012 1755015 1872016 2340020 2808024 3510030 4680040 5616048 7020060 9360080 14040120 28080240