Search a number
-
+
1483920 = 24345229
BaseRepresentation
bin101101010010010010000
32210101120000
411222102100
5334441140
651450000
715420204
oct5522220
92711500
101483920
11923989
125b6900
133cc579
142a8b04
151e4a30
hex16a490

1483920 has 100 divisors (see below), whose sum is σ = 5176380. Its totient is φ = 393984.

The previous prime is 1483907. The next prime is 1483927. The reversal of 1483920 is 293841.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 467856 = 1008^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1483927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6366 + ... + 6594.

21483920 is an apocalyptic number.

1483920 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 1483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588190).

1483920 is an abundant number, since it is smaller than the sum of its proper divisors (3692460).

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

1483920 is a wasteful number, since it uses less digits than its factorization.

1483920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1483920 is about 1218.1625507296. The cubic root of 1483920 is about 114.0609092791.

The spelling of 1483920 in words is "one million, four hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 229 240 270 324 360 405 432 458 540 648 687 720 810 916 1080 1145 1296 1374 1620 1832 2061 2160 2290 2748 3240 3435 3664 4122 4580 5496 6183 6480 6870 8244 9160 10305 10992 12366 13740 16488 18320 18549 20610 24732 27480 30915 32976 37098 41220 49464 54960 61830 74196 82440 92745 98928 123660 148392 164880 185490 247320 296784 370980 494640 741960 1483920