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1120433424 = 243115214073
BaseRepresentation
bin100001011001000…
…0111010100010000
32220002021220201020
41002302013110100
54243312332144
6303102435440
736523345515
oct10262072420
92802256636
101120433424
11525501240
12273292b80
1314b186476
14a8b3b30c
1568570419
hex42c87510

1120433424 has 80 divisors (see below), whose sum is σ = 3164422464. Its totient is φ = 338790400.

The previous prime is 1120433411. The next prime is 1120433443. The reversal of 1120433424 is 4243340211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1120433394 and 1120433403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273052 + ... + 277124.

Almost surely, 21120433424 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 1120433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582211232).

1120433424 is an abundant number, since it is smaller than the sum of its proper divisors (2043989040).

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

1120433424 is a wasteful number, since it uses less digits than its factorization.

1120433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1120433424 is about 33472.8759445614. The cubic root of 1120433424 is about 1038.6327644961.

Adding to 1120433424 its reverse (4243340211), we get a palindrome (5363773635).

The spelling of 1120433424 in words is "one billion, one hundred twenty million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 521 528 1042 1563 2084 3126 4073 4168 5731 6252 8146 8336 11462 12219 12504 16292 17193 22924 24438 25008 32584 34386 44803 45848 48876 65168 68772 89606 91696 97752 134409 137544 179212 195504 268818 275088 358424 537636 716848 1075272 2122033 2150544 4244066 6366099 8488132 12732198 16976264 23342363 25464396 33952528 46684726 50928792 70027089 93369452 101857584 140054178 186738904 280108356 373477808 560216712 1120433424