[go: up one dir, main page]

Search a number
-
+
1129430052 = 223252160217
BaseRepresentation
bin100001101010001…
…1011110000100100
32220201012222202200
41003110123300210
54303113230202
6304023334500
736662665662
oct10324336044
92821188680
101129430052
1152a596573
122762b1430
1314ccb640a
14a9dddc32
156924ae1c
hex4351bc24

1129430052 has 36 divisors (see below), whose sum is σ = 2860475436. Its totient is φ = 375747840.

The previous prime is 1129430041. The next prime is 1129430063. The reversal of 1129430052 is 2500349211.

It is an interprime number because it is at equal distance from previous prime (1129430041) and next prime (1129430063).

It can be written as a sum of positive squares in 2 ways, for example, as 96707556 + 1032722496 = 9834^2 + 32136^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11294300522 = 2551224484721445408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1129429998 and 1129430025.

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 11 ways as a sum of consecutive naturals, for example, 11353 + ... + 48864.

It is an arithmetic number, because the mean of its divisors is an integer number (79457651).

Almost surely, 21129430052 is an apocalyptic number.

1129430052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1129430052 is an abundant number, since it is smaller than the sum of its proper divisors (1731045384).

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

1129430052 is a wasteful number, since it uses less digits than its factorization.

1129430052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60748 (or 60743 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1129430052 is about 33606.9940934919. The cubic root of 1129430052 is about 1041.4052908397.

Adding to 1129430052 its reverse (2500349211), we get a palindrome (3629779263).

The spelling of 1129430052 in words is "one billion, one hundred twenty-nine million, four hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 521 1042 1563 2084 3126 4689 6252 9378 18756 60217 120434 180651 240868 361302 541953 722604 1083906 2167812 31373057 62746114 94119171 125492228 188238342 282357513 376476684 564715026 1129430052