Search a number
-
+
125144568 = 23331374229
BaseRepresentation
bin1110111010110…
…00110111111000
322201111000002000
413131120313320
5224014111233
620230141000
73046465653
oct735306770
9281430060
10125144568
1164705a6a
1235ab1760
131cc08753
141289889a
15aebed13
hex7758df8

125144568 has 64 divisors (see below), whose sum is σ = 350244000. Its totient is φ = 41400576.

The previous prime is 125144521. The next prime is 125144573. The reversal of 125144568 is 865441521.

It is a happy number.

125144568 is a `hidden beast` number, since 1 + 2 + 51 + 44 + 568 = 666.

It is a super-2 number, since 2×1251445682 = 31322325799813248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27478 + ... + 31706.

Almost surely, 2125144568 is an apocalyptic number.

125144568 is a gapful number since it is divisible by the number (18) 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 125144568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175122000).

125144568 is an abundant number, since it is smaller than the sum of its proper divisors (225099432).

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

125144568 is a wasteful number, since it uses less digits than its factorization.

125144568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4371 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 125144568 is about 11186.8032967421. The cubic root of 125144568 is about 500.1926830703.

The spelling of 125144568 in words is "one hundred twenty-five million, one hundred forty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3699 4229 4932 7398 8458 9864 12687 14796 16916 25374 29592 33832 38061 50748 76122 101496 114183 152244 228366 304488 456732 579373 913464 1158746 1738119 2317492 3476238 4634984 5214357 6952476 10428714 13904952 15643071 20857428 31286142 41714856 62572284 125144568