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126072949 = 3727712301
BaseRepresentation
bin1111000001110…
…11100001110101
322210020011120111
413200323201311
5224233313244
620302103021
73060413422
oct740734165
9283204514
10126072949
116518a522
123627aa71
13201721a2
1412a5ad49
15b104e34
hex783b875

126072949 has 8 divisors (see below), whose sum is σ = 129958328. Its totient is φ = 122212800.

The previous prime is 126072929. The next prime is 126072953. The reversal of 126072949 is 949270621.

It can be written as a sum of positive squares in 4 ways, for example, as 16200625 + 109872324 = 4025^2 + 10482^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126072949 - 25 = 126072917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126072929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4099 + ... + 16399.

It is an arithmetic number, because the mean of its divisors is an integer number (16244791).

Almost surely, 2126072949 is an apocalyptic number.

It is an amenable number.

126072949 is a deficient number, since it is larger than the sum of its proper divisors (3885379).

126072949 is a wasteful number, since it uses less digits than its factorization.

126072949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615.

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 126072949 is about 11228.2210968612. The cubic root of 126072949 is about 501.4265248498.

The spelling of 126072949 in words is "one hundred twenty-six million, seventy-two thousand, nine hundred forty-nine".

Divisors: 1 37 277 10249 12301 455137 3407377 126072949