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126906625 = 532813613
BaseRepresentation
bin1111001000001…
…11000100000001
322211210112011101
413210013010001
5224442003000
620332014401
73100455106
oct744070401
9284715141
10126906625
11656a990a
1236601401
13203a47a1
1412bd6aad
15b21be6a
hex7907101

126906625 has 16 divisors (see below), whose sum is σ = 158987088. Its totient is φ = 101136000.

The previous prime is 126906623. The next prime is 126906641. The reversal of 126906625 is 526609621.

It can be written as a sum of positive squares in 8 ways, for example, as 77457601 + 49449024 = 8801^2 + 7032^2 .

It is not a de Polignac number, because 126906625 - 21 = 126906623 is a prime.

It is a super-2 number, since 2×1269066252 = 32210582937781250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126906623) 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, 33319 + ... + 36931.

It is an arithmetic number, because the mean of its divisors is an integer number (9936693).

Almost surely, 2126906625 is an apocalyptic number.

It is an amenable number.

126906625 is a deficient number, since it is larger than the sum of its proper divisors (32080463).

126906625 is an equidigital number, since it uses as much as digits as its factorization.

126906625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 126906625 is about 11265.2840621087. The cubic root of 126906625 is about 502.5293498694.

The spelling of 126906625 in words is "one hundred twenty-six million, nine hundred six thousand, six hundred twenty-five".

Divisors: 1 5 25 125 281 1405 3613 7025 18065 35125 90325 451625 1015253 5076265 25381325 126906625