Search a number
-
+
125211424 = 25134137
BaseRepresentation
bin1110111011010…
…01001100100000
322201121101210011
413131221030200
5224023231144
620231414304
73050164612
oct735511440
9281541704
10125211424
1164751218
1235b24394
131cc30000
14128b4db2
15aed4a34
hex7769320

125211424 has 60 divisors (see below), whose sum is σ = 269001054. Its totient is φ = 57368064.

The previous prime is 125211413. The next prime is 125211439. The reversal of 125211424 is 424112521.

It can be written as a sum of positive squares in 5 ways, for example, as 14288400 + 110923024 = 3780^2 + 10532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125211395 and 125211404.

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 9 ways as a sum of consecutive naturals, for example, 913884 + ... + 914020.

Almost surely, 2125211424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134500527).

125211424 is an abundant number, since it is smaller than the sum of its proper divisors (143789630).

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

125211424 is an frugal number, since it uses more digits than its factorization.

125211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 152 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 125211424 is about 11189.7910614989. The cubic root of 125211424 is about 500.2817398821.

Adding to 125211424 its reverse (424112521), we get a palindrome (549323945).

The spelling of 125211424 in words is "one hundred twenty-five million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 169 208 274 338 416 548 676 1096 1352 1781 2192 2197 2704 3562 4384 4394 5408 7124 8788 14248 17576 23153 28496 28561 35152 46306 56992 57122 70304 92612 114244 185224 228488 300989 370448 456976 601978 740896 913952 1203956 2407912 3912857 4815824 7825714 9631648 15651428 31302856 62605712 125211424