Search a number
-
+
129540500 = 22535092
BaseRepresentation
bin1111011100010…
…10000110010100
3100000202100011022
413232022012110
5231130244000
620504300312
73132035045
oct756120624
9300670138
10129540500
1167138771
1237471698
1320ab75ab
14132c08cc
15b58c585
hex7b8a194

129540500 has 36 divisors (see below), whose sum is σ = 283473372. Its totient is φ = 51714400.

The previous prime is 129540473. The next prime is 129540517. The reversal of 129540500 is 5045921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 9024016 + 120516484 = 3004^2 + 10978^2 .

It is a super-2 number, since 2×1295405002 = 33561482280500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129540500.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 254246 + ... + 254754.

Almost surely, 2129540500 is an apocalyptic number.

129540500 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 129540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141736686).

129540500 is an abundant number, since it is smaller than the sum of its proper divisors (153932872).

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

129540500 is an frugal number, since it uses more digits than its factorization.

129540500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 129540500 is about 11381.5860054739. The cubic root of 129540500 is about 505.9821425059.

The spelling of 129540500 in words is "one hundred twenty-nine million, five hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 509 1018 2036 2545 5090 10180 12725 25450 50900 63625 127250 254500 259081 518162 1036324 1295405 2590810 5181620 6477025 12954050 25908100 32385125 64770250 129540500