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1121242304 = 2673133929
BaseRepresentation
bin100001011010100…
…1100110011000000
32220010211000021202
41002311030303000
54244014223204
6303132040332
736533255000
oct10265146300
92803730252
101121242304
11525a03a36
122736030a8
1314b3aa6b0
14a8cac000
156867ee1e
hex42d4ccc0

1121242304 has 112 divisors (see below), whose sum is σ = 2795016000. Its totient is φ = 443455488.

The previous prime is 1121242289. The next prime is 1121242333. The reversal of 1121242304 is 4032421211.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283412 + ... + 287340.

It is an arithmetic number, because the mean of its divisors is an integer number (24955500).

Almost surely, 21121242304 is an apocalyptic number.

1121242304 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 1121242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397508000).

1121242304 is an abundant number, since it is smaller than the sum of its proper divisors (1673773696).

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

1121242304 is an equidigital number, since it uses as much as digits as its factorization.

1121242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1121242304 is about 33484.9563834269. The cubic root of 1121242304 is about 1038.8826461225.

Adding to 1121242304 its reverse (4032421211), we get a palindrome (5153663515).

The spelling of 1121242304 in words is "one billion, one hundred twenty-one million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 343 364 392 416 448 637 686 728 784 832 1274 1372 1456 1568 2548 2744 2912 3136 3929 4459 5096 5488 5824 7858 8918 10192 10976 15716 17836 20384 21952 27503 31432 35672 40768 51077 55006 62864 71344 102154 110012 125728 142688 192521 204308 220024 251456 285376 357539 385042 408616 440048 715078 770084 817232 880096 1347647 1430156 1540168 1634464 1760192 2502773 2695294 2860312 3080336 3268928 5005546 5390588 5720624 6160672 10011092 10781176 11441248 12321344 17519411 20022184 21562352 22882496 35038822 40044368 43124704 70077644 80088736 86249408 140155288 160177472 280310576 560621152 1121242304