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129012896 = 2541107919
BaseRepresentation
bin1111011000010…
…01010010100000
322222202112102102
413230021102200
5231011403041
620445105532
73124406615
oct754112240
9288675372
10129012896
1166908331
12372582a8
13209613bc
14131c450c
15b4d609b
hex7b094a0

129012896 has 48 divisors (see below), whose sum is σ = 262906560. Its totient is φ = 62277120.

The previous prime is 129012889. The next prime is 129012899. The reversal of 129012896 is 698210921.

It is not an unprimeable number, because it can be changed into a prime (129012899) by changing a digit.

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, 139925 + ... + 140843.

It is an arithmetic number, because the mean of its divisors is an integer number (5477220).

Almost surely, 2129012896 is an apocalyptic number.

129012896 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 129012896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131453280).

129012896 is an abundant number, since it is smaller than the sum of its proper divisors (133893664).

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

129012896 is a wasteful number, since it uses less digits than its factorization.

129012896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 129012896 is about 11358.3843921572. The cubic root of 129012896 is about 505.2942715185.

The spelling of 129012896 in words is "one hundred twenty-nine million, twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 82 107 164 214 328 428 656 856 919 1312 1712 1838 3424 3676 4387 7352 8774 14704 17548 29408 35096 37679 70192 75358 98333 140384 150716 196666 301432 393332 602864 786664 1205728 1573328 3146656 4031653 8063306 16126612 32253224 64506448 129012896