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125120500 = 2253298629
BaseRepresentation
bin1110111010100…
…10111111110100
322201102210001121
413131102333310
5224012324000
620225433324
73046335541
oct735227764
9281383047
10125120500
116469997a
1235a9b844
131cbca7cb
141288dbc8
15aeb7b1a
hex7752ff4

125120500 has 48 divisors (see below), whose sum is σ = 282718800. Its totient is φ = 48316800.

The previous prime is 125120473. The next prime is 125120503. The reversal of 125120500 is 5021521.

It can be written as a sum of positive squares in 8 ways, for example, as 23755876 + 101364624 = 4874^2 + 10068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125120503) 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, 10186 + ... + 18814.

It is an arithmetic number, because the mean of its divisors is an integer number (5889975).

Almost surely, 2125120500 is an apocalyptic number.

125120500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141359400).

125120500 is an abundant number, since it is smaller than the sum of its proper divisors (157598300).

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

125120500 is a wasteful number, since it uses less digits than its factorization.

125120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8677 (or 8665 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 125120500 is about 11185.7275132197. The cubic root of 125120500 is about 500.1606150667.

The spelling of 125120500 in words is "one hundred twenty-five million, one hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3625 7250 8629 14500 17258 34516 43145 86290 172580 215725 250241 431450 500482 862900 1000964 1078625 1251205 2157250 2502410 4314500 5004820 6256025 12512050 25024100 31280125 62560250 125120500