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129612500 = 225510369
BaseRepresentation
bin1111011100110…
…11101011010100
3100000212222220222
413232123223110
5231140100000
620510013512
73132455003
oct756335324
9300788828
10129612500
1167187876
12374a7298
1320b112b4
14132dcc3a
15b5a3a85
hex7b9bad4

129612500 has 36 divisors (see below), whose sum is σ = 283536540. Its totient is φ = 51840000.

The previous prime is 129612499. The next prime is 129612503. The reversal of 129612500 is 5216921.

It can be written as a sum of positive squares in 6 ways, for example, as 126472516 + 3139984 = 11246^2 + 1772^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 129612500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129612503) 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 11 ways as a sum of consecutive naturals, for example, 7316 + ... + 17684.

It is an arithmetic number, because the mean of its divisors is an integer number (7876015).

Almost surely, 2129612500 is an apocalyptic number.

129612500 is a gapful number since it is divisible by the number (10) 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 129612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141768270).

129612500 is an abundant number, since it is smaller than the sum of its proper divisors (153924040).

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

129612500 is an equidigital number, since it uses as much as digits as its factorization.

129612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 129612500 is about 11384.7485699070. The cubic root of 129612500 is about 506.0758685782.

The spelling of 129612500 in words is "one hundred twenty-nine million, six hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 10369 12500 20738 41476 51845 103690 207380 259225 518450 1036900 1296125 2592250 5184500 6480625 12961250 25922500 32403125 64806250 129612500