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1130804384 = 25235926041
BaseRepresentation
bin100001101100110…
…1011010010100000
32220210210210222212
41003121223102200
54303441220014
6304113021252
740010451533
oct10331532240
92823723885
101130804384
11530345086
12276854828
13150377b28
14aa27aa1a
156941d23e
hex4366b4a0

1130804384 has 48 divisors (see below), whose sum is σ = 2362530240. Its totient is φ = 531632640.

The previous prime is 1130804371. The next prime is 1130804393. The reversal of 1130804384 is 4834080311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1130804384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30404 + ... + 56444.

It is an arithmetic number, because the mean of its divisors is an integer number (49219380).

Almost surely, 21130804384 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 1130804384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181265120).

1130804384 is an abundant number, since it is smaller than the sum of its proper divisors (1231725856).

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

1130804384 is a wasteful number, since it uses less digits than its factorization.

1130804384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26133 (or 26125 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1130804384 is about 33627.4349899007. The cubic root of 1130804384 is about 1041.8275263672.

Adding to 1130804384 its reverse (4834080311), we get a palindrome (5964884695).

The spelling of 1130804384 in words is "one billion, one hundred thirty million, eight hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 59 92 118 184 236 368 472 736 944 1357 1888 2714 5428 10856 21712 26041 43424 52082 104164 208328 416656 598943 833312 1197886 1536419 2395772 3072838 4791544 6145676 9583088 12291352 19166176 24582704 35337637 49165408 70675274 141350548 282701096 565402192 1130804384