Search a number
-
+
126813128 = 23131219357
BaseRepresentation
bin1111000111100…
…00001111001000
322211121202220112
413203300033020
5224431010003
620330013452
73066615401
oct743601710
9284552815
10126813128
1165645642
1236577288
1320371070
1412bb09a8
15b1ee3d8
hex78f03c8

126813128 has 16 divisors (see below), whose sum is σ = 256065180. Its totient is φ = 58529088.

The previous prime is 126813079. The next prime is 126813151. The reversal of 126813128 is 821318621.

It can be written as a sum of positive squares in 2 ways, for example, as 125933284 + 879844 = 11222^2 + 938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126813094 and 126813103.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 609575 + ... + 609782.

Almost surely, 2126813128 is an apocalyptic number.

It is an amenable number.

126813128 is an abundant number, since it is smaller than the sum of its proper divisors (129252052).

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

126813128 is a wasteful number, since it uses less digits than its factorization.

126813128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219376 (or 1219372 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 126813128 is about 11261.1335131060. The cubic root of 126813128 is about 502.4059086388.

The spelling of 126813128 in words is "one hundred twenty-six million, eight hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 1219357 2438714 4877428 9754856 15851641 31703282 63406564 126813128