Search a number
-
+
280126125 = 32534992
BaseRepresentation
bin10000101100100…
…110001010101101
3201112002212210200
4100230212022231
51033203014000
643444024113
76641014146
oct2054461255
9645085720
10280126125
1113413a9a4
1279992039
134605cc06
14292bcacd
15198d5500
hex10b262ad

280126125 has 36 divisors (see below), whose sum is σ = 505988028. Its totient is φ = 149101200.

The previous prime is 280126117. The next prime is 280126127. The reversal of 280126125 is 521621082.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8964036 + 271162089 = 2994^2 + 16467^2 .

It is not a de Polignac number, because 280126125 - 23 = 280126117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280126127) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 561126 + ... + 561624.

It is an arithmetic number, because the mean of its divisors is an integer number (14055223).

Almost surely, 2280126125 is an apocalyptic number.

280126125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

280126125 is a deficient number, since it is larger than the sum of its proper divisors (225861903).

280126125 is an frugal number, since it uses more digits than its factorization.

280126125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 280126125 is about 16736.9688115859. The cubic root of 280126125 is about 654.3114766349.

The spelling of 280126125 in words is "two hundred eighty million, one hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 499 1125 1497 2495 4491 7485 12475 22455 37425 62375 112275 187125 249001 561375 747003 1245005 2241009 3735015 6225025 11205045 18675075 31125125 56025225 93375375 280126125