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129671296 = 2729181193
BaseRepresentation
bin1111011101010…
…10000010000000
3100000222222120121
413232222002000
5231143440141
620511150024
73133121266
oct756520200
9300888517
10129671296
1167217a67
1237515314
1320b31ca1
1413316436
15b5b61d1
hex7baa080

129671296 has 64 divisors (see below), whose sum is σ = 270106200. Its totient is φ = 61931520.

The previous prime is 129671279. The next prime is 129671303. The reversal of 129671296 is 692176921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55711296 + 73960000 = 7464^2 + 8600^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671776 + ... + 671968.

Almost surely, 2129671296 is an apocalyptic number.

129671296 is a gapful number since it is divisible by the number (16) 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 129671296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135053100).

129671296 is an abundant number, since it is smaller than the sum of its proper divisors (140434904).

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

129671296 is a wasteful number, since it uses less digits than its factorization.

129671296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its digits is 81648, while the sum is 43.

The square root of 129671296 is about 11387.3305036782. The cubic root of 129671296 is about 506.1523805881.

The spelling of 129671296 in words is "one hundred twenty-nine million, six hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 181 193 232 362 386 464 724 772 928 1448 1544 1856 2896 3088 3712 5249 5597 5792 6176 10498 11194 11584 12352 20996 22388 23168 24704 34933 41992 44776 69866 83984 89552 139732 167968 179104 279464 335936 358208 558928 671872 716416 1013057 1117856 2026114 2235712 4052228 4471424 8104456 16208912 32417824 64835648 129671296