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1112404992 = 21033111681
BaseRepresentation
bin100001001001101…
…1111010000000000
32212112012000202220
41002103133100000
54234233424432
6302214411040
736365200146
oct10223372000
92775160686
101112404992
11520a18376
12270660a80
1314960510a
14a7a4b596
15679d672c
hex424df400

1112404992 has 88 divisors (see below), whose sum is σ = 3060870912. Its totient is φ = 358809600.

The previous prime is 1112404991. The next prime is 1112404999. The reversal of 1112404992 is 2994042111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112404991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89392 + ... + 101072.

It is an arithmetic number, because the mean of its divisors is an integer number (34782624).

Almost surely, 21112404992 is an apocalyptic number.

1112404992 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 1112404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530435456).

1112404992 is an abundant number, since it is smaller than the sum of its proper divisors (1948465920).

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

1112404992 is a wasteful number, since it uses less digits than its factorization.

1112404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1112404992 is about 33352.7358997729. The cubic root of 1112404992 is about 1036.1460515707.

The spelling of 1112404992 in words is "one billion, one hundred twelve million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3968 5952 7936 11681 11904 15872 23362 23808 31744 35043 46724 47616 70086 93448 95232 140172 186896 280344 362111 373792 560688 724222 747584 1086333 1121376 1448444 1495168 2172666 2242752 2896888 2990336 4345332 4485504 5793776 5980672 8690664 8971008 11587552 11961344 17381328 17942016 23175104 34762656 35884032 46350208 69525312 92700416 139050624 185400832 278101248 370801664 556202496 1112404992