Search a number
-
+
2419140 = 2235231753
BaseRepresentation
bin1001001110100111000100
311112220102210
421032213010
51104403030
6123503420
726363613
oct11164704
94486383
102419140
111402599
12987b70
13669159
1446d87a
1532bbb0
hex24e9c4

2419140 has 48 divisors (see below), whose sum is σ = 7072128. Its totient is φ = 616704.

The previous prime is 2419127. The next prime is 2419159. The reversal of 2419140 is 419142.

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, 504 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (147336).

22419140 is an apocalyptic number.

2419140 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 2419140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536064).

2419140 is an abundant number, since it is smaller than the sum of its proper divisors (4652988).

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

2419140 is a wasteful number, since it uses less digits than its factorization.

2419140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2419140 is about 1555.3584795795. The cubic root of 2419140 is about 134.2415632301.

The spelling of 2419140 in words is "two million, four hundred nineteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1753 3506 5259 7012 8765 10518 17530 21036 26295 35060 40319 52590 80638 105180 120957 161276 201595 241914 403190 483828 604785 806380 1209570 2419140