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129026144 = 2513437213
BaseRepresentation
bin1111011000011…
…00100001100000
322222210012121002
413230030201200
5231012314034
620445251132
73124463342
oct754144140
9288705532
10129026144
1166917285
1237263aa8
1320967440
14131c9292
15b4d9e7e
hex7b0c860

129026144 has 48 divisors (see below), whose sum is σ = 279960912. Its totient is φ = 58157568.

The previous prime is 129026087. The next prime is 129026147. The reversal of 129026144 is 441620921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129026147) 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, 14282 + ... + 21494.

It is an arithmetic number, because the mean of its divisors is an integer number (5832519).

Almost surely, 2129026144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139980456).

129026144 is an abundant number, since it is smaller than the sum of its proper divisors (150934768).

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

129026144 is a wasteful number, since it uses less digits than its factorization.

129026144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 129026144 is about 11358.9675587176. The cubic root of 129026144 is about 505.3115667130.

The spelling of 129026144 in words is "one hundred twenty-nine million, twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 4472 7213 8944 14426 17888 28852 57704 93769 115408 187538 230816 310159 375076 620318 750152 1240636 1500304 2481272 3000608 4032067 4962544 8064134 9925088 16128268 32256536 64513072 129026144