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1121248 = 2537947
BaseRepresentation
bin100010001101111100000
32002222001201
410101233200
5241334443
640010544
712346642
oct4215740
92088051
101121248
116a6457
12460a54
1330347b
14212892
1517234d
hex111be0

1121248 has 24 divisors (see below), whose sum is σ = 2269512. Its totient is φ = 544896.

The previous prime is 1121231. The next prime is 1121249. The reversal of 1121248 is 8421211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 711 + ... + 1657.

It is an arithmetic number, because the mean of its divisors is an integer number (94563).

21121248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134756).

1121248 is an abundant number, since it is smaller than the sum of its proper divisors (1148264).

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

1121248 is an equidigital number, since it uses as much as digits as its factorization.

1121248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 1121248 is about 1058.8899848426. The cubic root of 1121248 is about 103.8884405322. Note that the first 3 decimals are identical.

Adding to 1121248 its reverse (8421211), we get a palindrome (9542459).

It can be divided in two parts, 1121 and 248, that added together give a square (1369 = 372).

The spelling of 1121248 in words is "one million, one hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 947 1184 1894 3788 7576 15152 30304 35039 70078 140156 280312 560624 1121248