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1129149940 = 22556457497
BaseRepresentation
bin100001101001101…
…0111010111110100
32220200200202112011
41003103113113310
54303030244230
6304013334004
736660421222
oct10323272764
92820622464
101129149940
1152a415076
12276197304
1314cc18a79
14a9d69b12
15691e2e2a
hex434d75f4

1129149940 has 12 divisors (see below), whose sum is σ = 2371214916. Its totient is φ = 451659968.

The previous prime is 1129149929. The next prime is 1129149953. The reversal of 1129149940 is 499419211.

It can be written as a sum of positive squares in 2 ways, for example, as 169885156 + 959264784 = 13034^2 + 30972^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1129149893 and 1129149902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28228729 + ... + 28228768.

It is an arithmetic number, because the mean of its divisors is an integer number (197601243).

Almost surely, 21129149940 is an apocalyptic number.

1129149940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1129149940 is an abundant number, since it is smaller than the sum of its proper divisors (1242064976).

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

1129149940 is a wasteful number, since it uses less digits than its factorization.

1129149940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56457506 (or 56457504 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 1129149940 is about 33602.8263692208. The cubic root of 1129149940 is about 1041.3191901150.

The spelling of 1129149940 in words is "one billion, one hundred twenty-nine million, one hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 56457497 112914994 225829988 282287485 564574970 1129149940