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1121232 = 24374771
BaseRepresentation
bin100010001101111010000
32002222001010
410101233100
5241334412
640010520
712346620
oct4215720
92088033
101121232
116a6442
12460a40
13303468
14212880
1517233c
hex111bd0

1121232 has 80 divisors (see below), whose sum is σ = 3428352. Its totient is φ = 309120.

The previous prime is 1121231. The next prime is 1121249. The reversal of 1121232 is 2321211.

It is a super-2 number, since 2×11212322 = 2514322395648, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

1121232 is a modest number, since divided by 1232 gives 112 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15757 + ... + 15827.

21121232 is an apocalyptic number.

1121232 is a gapful number since it is divisible by the number (12) 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 1121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714176).

1121232 is an abundant number, since it is smaller than the sum of its proper divisors (2307120).

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

1121232 is a wasteful number, since it uses less digits than its factorization.

1121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 1121232 is about 1058.8824297343. The cubic root of 1121232 is about 103.8879463736.

Adding to 1121232 its reverse (2321211), we get a palindrome (3442443).

The spelling of 1121232 in words is "one million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 71 84 94 112 141 142 168 188 213 282 284 329 336 376 426 497 564 568 658 752 852 987 994 1128 1136 1316 1491 1704 1974 1988 2256 2632 2982 3337 3408 3948 3976 5264 5964 6674 7896 7952 10011 11928 13348 15792 20022 23359 23856 26696 40044 46718 53392 70077 80088 93436 140154 160176 186872 280308 373744 560616 1121232