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126870133 = 1317233769
BaseRepresentation
bin1111000111111…
…10001001110101
322211201200002211
413203332021311
5224434321013
620331133421
73100243525
oct743761165
9284650084
10126870133
1165684455
12365a4271
1320390cb0
1412bc7685
15b21123d
hex78fe275

126870133 has 12 divisors (see below), whose sum is σ = 145143460. Its totient is φ = 110218752.

The previous prime is 126870109. The next prime is 126870137. The reversal of 126870133 is 331078621.

It can be written as a sum of positive squares in 6 ways, for example, as 10381284 + 116488849 = 3222^2 + 10793^2 .

It is not a de Polignac number, because 126870133 - 25 = 126870101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126870095 and 126870104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126870137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13128 + ... + 20641.

Almost surely, 2126870133 is an apocalyptic number.

126870133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126870133 is a deficient number, since it is larger than the sum of its proper divisors (18273327).

126870133 is a wasteful number, since it uses less digits than its factorization.

126870133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33816 (or 33799 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 126870133 is about 11263.6642794430. The cubic root of 126870133 is about 502.4811778137.

The spelling of 126870133 in words is "one hundred twenty-six million, eight hundred seventy thousand, one hundred thirty-three".

Divisors: 1 13 17 221 289 3757 33769 438997 574073 7462949 9759241 126870133