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1204320 = 253513193
BaseRepresentation
bin100100110000001100000
32021012000110
410212001200
5302014240
641451320
713144065
oct4460140
92235013
101204320
11752907
124a0b40
13332220
14234c6c
1518bc80
hex126060

1204320 has 96 divisors (see below), whose sum is σ = 4106592. Its totient is φ = 294912.

The previous prime is 1204309. The next prime is 1204337. The reversal of 1204320 is 234021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1204296 and 1204305.

It is a congruent number.

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, 6144 + ... + 6336.

It is an arithmetic number, because the mean of its divisors is an integer number (42777).

21204320 is an apocalyptic number.

1204320 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 1204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053296).

1204320 is an abundant number, since it is smaller than the sum of its proper divisors (2902272).

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

1204320 is a wasteful number, since it uses less digits than its factorization.

1204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1204320 is about 1097.4151447834. The cubic root of 1204320 is about 106.3932232290.

Adding to 1204320 its reverse (234021), we get a palindrome (1438341).

Subtracting from 1204320 its reverse (234021), we obtain a cube (970299 = 993).

It can be divided in two parts, 120 and 4320, that multiplied together give a square (518400 = 7202).

The spelling of 1204320 in words is "one million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 193 195 208 240 260 312 386 390 416 480 520 579 624 772 780 965 1040 1158 1248 1544 1560 1930 2080 2316 2509 2895 3088 3120 3860 4632 5018 5790 6176 6240 7527 7720 9264 10036 11580 12545 15054 15440 18528 20072 23160 25090 30108 30880 37635 40144 46320 50180 60216 75270 80288 92640 100360 120432 150540 200720 240864 301080 401440 602160 1204320