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1124031104 = 2777117669
BaseRepresentation
bin100001011111111…
…0101101010000000
32220100001200210122
41002333311222000
54300222443404
6303311515412
736566051420
oct10277655200
92810050718
101124031104
11527539229
12274528b68
1314bb45b81
14a93d6480
1568a313be
hex42ff5a80

1124031104 has 64 divisors (see below), whose sum is σ = 2595369600. Its totient is φ = 474915840.

The previous prime is 1124031071. The next prime is 1124031149. The reversal of 1124031104 is 4011304211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54782 + ... + 72450.

It is an arithmetic number, because the mean of its divisors is an integer number (40552650).

Almost surely, 21124031104 is an apocalyptic number.

1124031104 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 1124031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297684800).

1124031104 is an abundant number, since it is smaller than the sum of its proper divisors (1471338496).

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

1124031104 is an equidigital number, since it uses as much as digits as its factorization.

1124031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17761 (or 17749 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1124031104 is about 33526.5731025406. The cubic root of 1124031104 is about 1039.7432502296.

Adding to 1124031104 its reverse (4011304211), we get a palindrome (5135335315).

The spelling of 1124031104 in words is "one billion, one hundred twenty-four million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1988 2272 3976 4544 7952 9088 15904 17669 31808 35338 63616 70676 123683 141352 247366 282704 494732 565408 989464 1130816 1254499 1978928 2261632 2508998 3957856 5017996 7915712 8781493 10035992 15831424 17562986 20071984 35125972 40143968 70251944 80287936 140503888 160575872 281007776 562015552 1124031104