Search a number
-
+
1208320 = 212559
BaseRepresentation
bin100100111000000000000
32021101111121
410213000000
5302131240
641522024
713161541
oct4470000
92241447
101208320
11755913
124a3314
13333ca9
142364c8
1518d04a
hex127000

1208320 has 52 divisors (see below), whose sum is σ = 2948760. Its totient is φ = 475136.

The previous prime is 1208303. The next prime is 1208341. The reversal of 1208320 is 238021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1208294 and 1208303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20451 + ... + 20509.

21208320 is an apocalyptic number.

1208320 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 1208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474380).

1208320 is an abundant number, since it is smaller than the sum of its proper divisors (1740440).

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

1208320 is an frugal number, since it uses more digits than its factorization.

1208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1208320 is about 1099.2360983883. The cubic root of 1208320 is about 106.5108837063.

Subtracting from 1208320 its reverse (238021), we obtain a cube (970299 = 993).

The spelling of 1208320 in words is "one million, two hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 472 512 590 640 944 1024 1180 1280 1888 2048 2360 2560 3776 4096 4720 5120 7552 9440 10240 15104 18880 20480 30208 37760 60416 75520 120832 151040 241664 302080 604160 1208320