Search a number
-
+
1842080 = 25529397
BaseRepresentation
bin111000001101110100000
310110120212012
413001232200
5432421310
6103252052
721441332
oct7015640
93416765
101842080
111048a89
1274a028
134c65b6
1435d452
15265c05
hex1c1ba0

1842080 has 48 divisors (see below), whose sum is σ = 4513320. Its totient is φ = 709632.

The previous prime is 1842079. The next prime is 1842083. The reversal of 1842080 is 802481.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 234256 = 1268^2 + 484^2 .

It is not an unprimeable number, because it can be changed into a prime (1842083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4442 + ... + 4838.

21842080 is an apocalyptic number.

1842080 is a gapful number since it is divisible by the number (10) 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 1842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256660).

1842080 is an abundant number, since it is smaller than the sum of its proper divisors (2671240).

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

1842080 is a wasteful number, since it uses less digits than its factorization.

1842080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1842080 is about 1357.2324782439. The cubic root of 1842080 is about 122.5846700492.

The spelling of 1842080 in words is "one million, eight hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 397 464 580 794 928 1160 1588 1985 2320 3176 3970 4640 6352 7940 11513 12704 15880 23026 31760 46052 57565 63520 92104 115130 184208 230260 368416 460520 921040 1842080