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1130304 = 2637292
BaseRepresentation
bin100010011111101000000
32010102111010
410103331000
5242132204
640120520
712415230
oct4237500
92112433
101130304
1170223a
12466140
13307626
14215cc0
15174d89
hex113f40

1130304 has 84 divisors (see below), whose sum is σ = 3539744. Its totient is φ = 311808.

The previous prime is 1130299. The next prime is 1130317. The reversal of 1130304 is 4030311.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1130304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38962 + ... + 38990.

21130304 is an apocalyptic number.

1130304 is a gapful number since it is divisible by the number (14) 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 1130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769872).

1130304 is an abundant number, since it is smaller than the sum of its proper divisors (2409440).

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

1130304 is an equidigital number, since it uses as much as digits as its factorization.

1130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1130304 is about 1063.1575612298. The cubic root of 1130304 is about 104.1673833195.

Adding to 1130304 its reverse (4030311), we get a palindrome (5160615).

It can be divided in two parts, 1 and 130304, that added together give a triangular number (130305 = T510).

The spelling of 1130304 in words is "one million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 841 928 1218 1344 1392 1624 1682 1856 2436 2523 2784 3248 3364 4872 5046 5568 5887 6496 6728 9744 10092 11774 12992 13456 17661 19488 20184 23548 26912 35322 38976 40368 47096 53824 70644 80736 94192 141288 161472 188384 282576 376768 565152 1130304