Search a number
-
+
125254500 = 22353779151
BaseRepresentation
bin1110111011100…
…11101101100100
322201200120212120
413131303231210
5224031121000
620232345540
73050434320
oct735635544
9281616776
10125254500
1164780618
1235b452b0
131cc467b7
14128c6980
15aee26a0
hex7773b64

125254500 has 192 divisors, whose sum is σ = 424919040. Its totient is φ = 28080000.

The previous prime is 125254457. The next prime is 125254501. The reversal of 125254500 is 5452521.

It is a happy number.

It is a super-3 number, since 3×1252545003 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (125254501) 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 63 ways as a sum of consecutive naturals, for example, 829425 + ... + 829575.

It is an arithmetic number, because the mean of its divisors is an integer number (2213120).

Almost surely, 2125254500 is an apocalyptic number.

125254500 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 125254500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212459520).

125254500 is an abundant number, since it is smaller than the sum of its proper divisors (299664540).

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

125254500 is a wasteful number, since it uses less digits than its factorization.

125254500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 125254500 is about 11191.7156861672. The cubic root of 125254500 is about 500.3391032992.

The spelling of 125254500 in words is "one hundred twenty-five million, two hundred fifty-four thousand, five hundred".