Search a number
-
+
5128080 = 243523929
BaseRepresentation
bin10011100011111110010000
3100122112101220
4103203332100
52303044310
6301525040
761405446
oct23437620
910575356
105128080
112992891
121873780
1310a7189
14976b96
156b4670
hex4e3f90

5128080 has 80 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 1306624.

The previous prime is 5128063. The next prime is 5128153. The reversal of 5128080 is 808215.

5128080 = T449 + T450 + ... + T494.

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 5128080.

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, 5056 + ... + 5984.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 25128080 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 5128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

5128080 is an abundant number, since it is smaller than the sum of its proper divisors (11478000).

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

5128080 is a wasteful number, since it uses less digits than its factorization.

5128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 5128080 is about 2264.5264405610. The cubic root of 5128080 is about 172.4453933435.

It can be divided in two parts, 51280 and 80, that added together give a triangular number (51360 = T320).

The spelling of 5128080 in words is "five million, one hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 929 1104 1380 1840 1858 2760 2787 3716 4645 5520 5574 7432 9290 11148 13935 14864 18580 21367 22296 27870 37160 42734 44592 55740 64101 74320 85468 106835 111480 128202 170936 213670 222960 256404 320505 341872 427340 512808 641010 854680 1025616 1282020 1709360 2564040 5128080