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125014164 = 223111019377
BaseRepresentation
bin1110111001110…
…01000010010100
322201020101012020
413130321002110
5224000423124
620223253140
73045413532
oct734710224
9281211166
10125014164
1164626aa0
1235a4a1b0
131cb912a2
1412863152
15ae96379
hex7739094

125014164 has 48 divisors (see below), whose sum is σ = 321402816. Its totient is φ = 37504000.

The previous prime is 125014151. The next prime is 125014181. The reversal of 125014164 is 461410521.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8644 + ... + 18020.

It is an arithmetic number, because the mean of its divisors is an integer number (6695892).

Almost surely, 2125014164 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 125014164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160701408).

125014164 is an abundant number, since it is smaller than the sum of its proper divisors (196388652).

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

125014164 is a wasteful number, since it uses less digits than its factorization.

125014164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 125014164 is about 11180.9733028927. The cubic root of 125014164 is about 500.0188846201.

Adding to 125014164 its reverse (461410521), we get a palindrome (586424685).

The spelling of 125014164 in words is "one hundred twenty-five million, fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 9377 13332 18754 28131 37508 56262 103147 112524 206294 309441 412588 618882 947077 1237764 1894154 2841231 3788308 5682462 10417847 11364924 20835694 31253541 41671388 62507082 125014164