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129891104 = 2574911181
BaseRepresentation
bin1111011110111…
…11101100100000
3100001102011002122
413233133230200
5231223003404
620520003412
73135025160
oct757375440
9301364078
10129891104
1167358122
1237600568
1320bab055
14133725a0
15b60b3be
hex7bdfb20

129891104 has 48 divisors (see below), whose sum is σ = 293098176. Its totient is φ = 55507200.

The previous prime is 129891103. The next prime is 129891119. The reversal of 129891104 is 401198921.

It is not an unprimeable number, because it can be changed into a prime (129891103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109394 + ... + 110574.

It is an arithmetic number, because the mean of its divisors is an integer number (6106212).

Almost surely, 2129891104 is an apocalyptic number.

129891104 is a gapful number since it is divisible by the number (14) 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 129891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146549088).

129891104 is an abundant number, since it is smaller than the sum of its proper divisors (163207072).

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

129891104 is a wasteful number, since it uses less digits than its factorization.

129891104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 129891104 is about 11396.9778450254. The cubic root of 129891104 is about 506.4382149525.

The spelling of 129891104 in words is "one hundred twenty-nine million, eight hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 491 982 1181 1964 2362 3437 3928 4724 6874 7856 8267 9448 13748 15712 16534 18896 27496 33068 37792 54992 66136 109984 132272 264544 579871 1159742 2319484 4059097 4638968 8118194 9277936 16236388 18555872 32472776 64945552 129891104