Search a number
-
+
126766376 = 23112130957
BaseRepresentation
bin1111000111001…
…00110100101000
322211112101202222
413203210310220
5224423011001
620325013212
73066332162
oct743446450
9284471688
10126766376
1165613500
1236554208
13203559b9
1412b9b932
15b1e061b
hex78e4d28

126766376 has 24 divisors (see below), whose sum is σ = 261261210. Its totient is φ = 57620640.

The previous prime is 126766373. The next prime is 126766391. The reversal of 126766376 is 673667621.

It can be written as a sum of positive squares in only one way, i.e., 123432100 + 3334276 = 11110^2 + 1826^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (126766373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64511 + ... + 66446.

Almost surely, 2126766376 is an apocalyptic number.

It is an amenable number.

126766376 is an abundant number, since it is smaller than the sum of its proper divisors (134494834).

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

126766376 is a wasteful number, since it uses less digits than its factorization.

126766376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130985 (or 130970 counting only the distinct ones).

The product of its digits is 381024, while the sum is 44.

The square root of 126766376 is about 11259.0575094010. The cubic root of 126766376 is about 502.3441606466.

The spelling of 126766376 in words is "one hundred twenty-six million, seven hundred sixty-six thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 130957 261914 523828 1047656 1440527 2881054 5762108 11524216 15845797 31691594 63383188 126766376