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129390625 = 5672132
BaseRepresentation
bin1111011011001…
…01100000100001
3100000110201120101
413231211200201
5231111000000
620501142401
73130542100
oct755454041
9300421511
10129390625
1167046101
12373baa01
1320a64300
1413282037
15b55ce6a
hex7b65821

129390625 has 63 divisors (see below), whose sum is σ = 203727861. Its totient is φ = 81900000.

The previous prime is 129390619. The next prime is 129390641. The reversal of 129390625 is 526093921.

The square root of 129390625 is 11375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 60699681 + 68690944 = 7791^2 + 8288^2 .

It is not a de Polignac number, because 129390625 - 25 = 129390593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 9953119 + ... + 9953131.

Almost surely, 2129390625 is an apocalyptic number.

129390625 is the 11375-th square number.

129390625 is the 5688-th centered octagonal number.

It is an amenable number.

129390625 is a deficient number, since it is larger than the sum of its proper divisors (74337236).

129390625 is an frugal number, since it uses more digits than its factorization.

129390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 129390625 is about 505.7869311282.

The spelling of 129390625 in words is "one hundred twenty-nine million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 125 169 175 245 325 455 625 637 845 875 1183 1225 1625 2275 3125 3185 4225 4375 5915 6125 8125 8281 11375 15625 15925 21125 21875 29575 30625 40625 41405 56875 79625 105625 109375 147875 153125 203125 207025 284375 398125 528125 739375 765625 1035125 1421875 1990625 2640625 3696875 5175625 9953125 18484375 25878125 129390625