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1129688208 = 243411109727
BaseRepresentation
bin100001101010101…
…1010110010010000
32220201201002220000
41003111122302100
54303200010313
6304033050000
736665122425
oct10325326220
92821632800
101129688208
1152a752520
122763b6900
13150076a7c
14aa069d4c
156929c673
hex4355ac90

1129688208 has 200 divisors, whose sum is σ = 3604560960. Its totient is φ = 338722560.

The previous prime is 1129688207. The next prime is 1129688227. The reversal of 1129688208 is 8028869211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1129688207) 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 39 ways as a sum of consecutive naturals, for example, 1553541 + ... + 1554267.

Almost surely, 21129688208 is an apocalyptic number.

1129688208 is a gapful number since it is divisible by the number (18) 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 1129688208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802280480).

1129688208 is an abundant number, since it is smaller than the sum of its proper divisors (2474872752).

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

1129688208 is a wasteful number, since it uses less digits than its factorization.

1129688208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1129688208 is about 33610.8346816916. The cubic root of 1129688208 is about 1041.4846301321.

The spelling of 1129688208 in words is "one billion, one hundred twenty-nine million, six hundred eighty-eight thousand, two hundred eight".