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1190720 = 265612
BaseRepresentation
bin100100010101101000000
32020111100202
410202231000
5301100340
641304332
713056326
oct4425500
92214322
101190720
11743673
124950a8
13328c8b
1422dd16
15187c15
hex122b40

1190720 has 42 divisors (see below), whose sum is σ = 2882646. Its totient is φ = 468480.

The previous prime is 1190719. The next prime is 1190723. The reversal of 1190720 is 270911.

It can be written as a sum of positive squares in 3 ways, for example, as 92416 + 1098304 = 304^2 + 1048^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1190692 and 1190701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19490 + ... + 19550.

21190720 is an apocalyptic number.

1190720 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 1190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441323).

1190720 is an abundant number, since it is smaller than the sum of its proper divisors (1691926).

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

1190720 is an frugal number, since it uses more digits than its factorization.

1190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1190720 is about 1091.2011730199. The cubic root of 1190720 is about 105.9912179742.

Multiplying 1190720 by its sum of digits (20), we get a square (23814400 = 48802).

1190720 divided by its sum of digits (20) gives a square (59536 = 2442).

The spelling of 1190720 in words is "one million, one hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3721 3904 4880 7442 9760 14884 18605 19520 29768 37210 59536 74420 119072 148840 238144 297680 595360 1190720