Search a number
-
+
126563076 = 223229121229
BaseRepresentation
bin1111000101100…
…11001100000100
322211011001220100
413202303030010
5224400004301
620320404100
73064524363
oct742631404
9284131810
10126563076
1165494792
1236476630
13202b42c3
1412b477da
15b1a0286
hex78b3304

126563076 has 36 divisors (see below), whose sum is σ = 330957900. Its totient is φ = 40732608.

The previous prime is 126563069. The next prime is 126563077. The reversal of 126563076 is 670365621.

126563076 is a `hidden beast` number, since 1 + 26 + 563 + 0 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66096900 + 60466176 = 8130^2 + 7776^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126563076.

It is not an unprimeable number, because it can be changed into a prime (126563077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59571 + ... + 61658.

It is an arithmetic number, because the mean of its divisors is an integer number (9193275).

Almost surely, 2126563076 is an apocalyptic number.

It is an amenable number.

126563076 is an abundant number, since it is smaller than the sum of its proper divisors (204394824).

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

126563076 is a wasteful number, since it uses less digits than its factorization.

126563076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121268 (or 121263 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 126563076 is about 11250.0255999709. The cubic root of 126563076 is about 502.0754742264.

The spelling of 126563076 in words is "one hundred twenty-six million, five hundred sixty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 121229 242458 363687 484916 727374 1091061 1454748 2182122 3515641 4364244 7031282 10546923 14062564 21093846 31640769 42187692 63281538 126563076