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1128385829 = 17661100417
BaseRepresentation
bin100001101000001…
…1100110100100101
32220122020221100202
41003100130310211
54302331321304
6303545120245
736651056414
oct10320346445
92818227322
101128385829
11529a42a7a
12275a89085
1314ca0c02c
14a9c0b47b
15690e181e
hex4341cd25

1128385829 has 8 divisors (see below), whose sum is σ = 1196580888. Its totient is φ = 1060392960.

The previous prime is 1128385801. The next prime is 1128385831. The reversal of 1128385829 is 9285838211.

It can be written as a sum of positive squares in 4 ways, for example, as 190495204 + 937890625 = 13802^2 + 30625^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1128385829 - 212 = 1128381733 is a prime.

It is a super-3 number, since 3×11283858293 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128385849) by changing a digit.

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, 38972 + ... + 61445.

It is an arithmetic number, because the mean of its divisors is an integer number (149572611).

Almost surely, 21128385829 is an apocalyptic number.

It is an amenable number.

1128385829 is a deficient number, since it is larger than the sum of its proper divisors (68195059).

1128385829 is a wasteful number, since it uses less digits than its factorization.

1128385829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101095.

The product of its digits is 276480, while the sum is 47.

The square root of 1128385829 is about 33591.4547020518. The cubic root of 1128385829 is about 1041.0842455281.

The spelling of 1128385829 in words is "one billion, one hundred twenty-eight million, three hundred eighty-five thousand, eight hundred twenty-nine".

Divisors: 1 17 661 11237 100417 1707089 66375637 1128385829