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125008 = 2413601
BaseRepresentation
bin11110100001010000
320100110221
4132201100
513000013
62402424
71030312
oct364120
9210427
10125008
1185a14
1260414
1344b90
14337b2
152708d
hex1e850

125008 has 20 divisors (see below), whose sum is σ = 261268. Its totient is φ = 57600.

The previous prime is 125003. The next prime is 125017. The reversal of 125008 is 800521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 63504 = 248^2 + 252^2 .

It is a sliding number, since 125008 = 8 + 125000 and 1/8 + 1/125000 = 0.125008.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 124982 and 125000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125003) by changing a digit.

125008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93 + ... + 508.

125008 is a Friedman number, since it can be written as 50^(2+1+0)+8, using all its digits and the basic arithmetic operations.

2125008 is an apocalyptic number.

It is an amenable number.

125008 is an abundant number, since it is smaller than the sum of its proper divisors (136260).

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

125008 is a wasteful number, since it uses less digits than its factorization.

125008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 125008 is about 353.5647041208. The cubic root of 125008 is about 50.0010666439.

Adding to 125008 its reverse (800521), we get a palindrome (925529).

It can be divided in two parts, 12500 and 8, that multiplied together give a 5-th power (100000 = 105).

The spelling of 125008 in words is "one hundred twenty-five thousand, eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 601 1202 2404 4808 7813 9616 15626 31252 62504 125008