Search a number
-
+
125240256 = 26358053
BaseRepresentation
bin1110111011100…
…00001111000000
322201122212100000
413131300033000
5224030142011
620232200000
73050344641
oct735601700
9281585300
10125240256
1164770949
1235b39000
131cc4017b
14128c16c8
15aedd356
hex77703c0

125240256 has 84 divisors (see below), whose sum is σ = 372320312. Its totient is φ = 41741568.

The previous prime is 125240239. The next prime is 125240257. The reversal of 125240256 is 652042521.

125240256 is a `hidden beast` number, since 1 + 252 + 402 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125240257) by changing a digit.

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, 11526 + ... + 19578.

Almost surely, 2125240256 is an apocalyptic number.

125240256 is a gapful number since it is divisible by the number (16) 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 125240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186160156).

125240256 is an abundant number, since it is smaller than the sum of its proper divisors (247080056).

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

125240256 is an frugal number, since it uses more digits than its factorization.

125240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 125240256 is about 11191.0793045175. The cubic root of 125240256 is about 500.3201363151.

Adding to 125240256 its reverse (652042521), we get a palindrome (777282777).

The spelling of 125240256 in words is "one hundred twenty-five million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 8053 15552 16106 24159 32212 48318 64424 72477 96636 128848 144954 193272 217431 257696 289908 386544 434862 515392 579816 652293 773088 869724 1159632 1304586 1546176 1739448 1956879 2319264 2609172 3478896 3913758 4638528 5218344 6957792 7827516 10436688 13915584 15655032 20873376 31310064 41746752 62620128 125240256