Search a number
-
+
126670302 = 232112193061
BaseRepresentation
bin1111000110011…
…01010111011110
322211100111222200
413203031113132
5224411422202
620322552330
73065452113
oct743152736
9284314880
10126670302
1165558300
12365086a6
1320321055
1412b7490a
15b1c1e1c
hex78cd5de

126670302 has 72 divisors (see below), whose sum is σ = 317651880. Its totient is φ = 36352800.

The previous prime is 126670301. The next prime is 126670331. The reversal of 126670302 is 203076621.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126670301) 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 35 ways as a sum of consecutive naturals, for example, 39852 + ... + 42912.

Almost surely, 2126670302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126670302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158825940).

126670302 is an abundant number, since it is smaller than the sum of its proper divisors (190981578).

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

126670302 is a wasteful number, since it uses less digits than its factorization.

126670302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126670302 is about 11254.7901801855. The cubic root of 126670302 is about 502.2172226474.

The spelling of 126670302 in words is "one hundred twenty-six million, six hundred seventy thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3061 3762 4598 6122 6897 9183 13794 18366 20691 27549 33671 41382 55098 58159 67342 101013 116318 174477 202026 303039 348954 370381 523431 606078 639749 740762 1046862 1111143 1279498 1919247 2222286 3333429 3838494 5757741 6666858 7037239 11515482 14074478 21111717 42223434 63335151 126670302