Search a number
-
+
126124869 = 31321913093
BaseRepresentation
bin1111000010010…
…00001101000101
322210022210210110
413201020031011
5224241443434
620303143233
73061020663
oct741101505
9283283713
10126124869
1165215532
12362a4b19
132018ca00
1412a71c33
15b1154e9
hex7848345

126124869 has 24 divisors (see below), whose sum is σ = 191696160. Its totient is φ = 73524672.

The previous prime is 126124849. The next prime is 126124871. The reversal of 126124869 is 968421621.

It is not a de Polignac number, because 126124869 - 29 = 126124357 is a prime.

It is a super-2 number, since 2×1261248692 = 31814965160534322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126124849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3087 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (7987340).

Almost surely, 2126124869 is an apocalyptic number.

126124869 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

126124869 is a deficient number, since it is larger than the sum of its proper divisors (65571291).

126124869 is a wasteful number, since it uses less digits than its factorization.

126124869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13141 (or 13128 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 126124869 is about 11230.5328902951. The cubic root of 126124869 is about 501.4953487394.

The spelling of 126124869 in words is "one hundred twenty-six million, one hundred twenty-four thousand, eight hundred sixty-nine".

Divisors: 1 3 13 19 39 57 169 247 507 741 3211 9633 13093 39279 170209 248767 510627 746301 2212717 3233971 6638151 9701913 42041623 126124869