Search a number
-
+
125130474 = 23371093037
BaseRepresentation
bin1110111010101…
…01011011101010
322201110021202000
413131111123222
5224013133344
620225551430
73046406610
oct735253352
9281407660
10125130474
11646a6417
1235aa5576
131cc02201
14128936b0
15aebaa69
hex77556ea

125130474 has 64 divisors (see below), whose sum is σ = 320812800. Its totient is φ = 35411904.

The previous prime is 125130451. The next prime is 125130491. The reversal of 125130474 is 474031521.

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

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 31 ways as a sum of consecutive naturals, for example, 39684 + ... + 42720.

It is an arithmetic number, because the mean of its divisors is an integer number (5012700).

Almost surely, 2125130474 is an apocalyptic number.

125130474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125130474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160406400).

125130474 is an abundant number, since it is smaller than the sum of its proper divisors (195682326).

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

125130474 is a wasteful number, since it uses less digits than its factorization.

125130474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125130474 is about 11186.1733403340. The cubic root of 125130474 is about 500.1739048405.

Adding to 125130474 its reverse (474031521), we get a palindrome (599161995).

The spelling of 125130474 in words is "one hundred twenty-five million, one hundred thirty thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1962 2289 2943 3037 4578 5886 6074 6867 9111 13734 18222 20601 21259 27333 41202 42518 54666 63777 81999 127554 163998 191331 331033 382662 573993 662066 993099 1147986 1986198 2317231 2979297 4634462 5958594 6951693 8937891 13903386 17875782 20855079 41710158 62565237 125130474