[go: up one dir, main page]

Search a number
-
+
2880420 = 223561787
BaseRepresentation
bin1010111111001110100100
312102100012020
422333032210
51214133140
6141423140
733324504
oct12771644
95370166
102880420
111698114
12b6aab0
1379b0ba
1454da04
153bd6d0
hex2bf3a4

2880420 has 48 divisors (see below), whose sum is σ = 8207808. Its totient is φ = 754560.

The previous prime is 2880407. The next prime is 2880421. The reversal of 2880420 is 240882.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2880421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3267 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (170996).

22880420 is an apocalyptic number.

2880420 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 2880420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103904).

2880420 is an abundant number, since it is smaller than the sum of its proper divisors (5327388).

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

2880420 is a wasteful number, since it uses less digits than its factorization.

2880420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

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

The square root of 2880420 is about 1697.1800140233. The cubic root of 2880420 is about 142.2826480249.

The spelling of 2880420 in words is "two million, eight hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 787 915 1220 1574 1830 2361 3148 3660 3935 4722 7870 9444 11805 15740 23610 47220 48007 96014 144021 192028 240035 288042 480070 576084 720105 960140 1440210 2880420