Search a number
-
+
125125104 = 24313239839
BaseRepresentation
bin1110111010101…
…00000111110000
322201110000101010
413131110013300
5224013000404
620225510520
73046355136
oct735240760
9281400333
10125125104
11646a2385
1235aa2440
131cbcc930
1412891756
15aeb9189
hex77541f0

125125104 has 80 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 38293248.

The previous prime is 125125057. The next prime is 125125109. The reversal of 125125104 is 401521521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125125109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148717 + ... + 149555.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2125125104 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 125125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

125125104 is an abundant number, since it is smaller than the sum of its proper divisors (224852496).

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

125125104 is a wasteful number, since it uses less digits than its factorization.

125125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 125125104 is about 11185.9333092952. The cubic root of 125125104 is about 500.1667497162.

Adding to 125125104 its reverse (401521521), we get a palindrome (526646625).

The spelling of 125125104 in words is "one hundred twenty-five million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 478 624 717 839 956 1434 1678 1912 2517 2868 3107 3356 3824 5034 5736 6214 6712 9321 10068 10907 11472 12428 13424 18642 20136 21814 24856 32721 37284 40272 43628 49712 65442 74568 87256 130884 149136 174512 200521 261768 401042 523536 601563 802084 1203126 1604168 2406252 2606773 3208336 4812504 5213546 7820319 9625008 10427092 15640638 20854184 31281276 41708368 62562552 125125104