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126117424 = 24173114957
BaseRepresentation
bin1111000010001…
…10011000110000
322210022102120201
413201012120300
5224241224144
620303044544
73060660166
oct741063060
9283272521
10126117424
116520a984
12362a0754
13201894c4
1412a6d236
15b1131d4
hex7846630

126117424 has 40 divisors (see below), whose sum is σ = 267090048. Its totient is φ = 57431040.

The previous prime is 126117367. The next prime is 126117451. The reversal of 126117424 is 424711621.

It is a junction number, because it is equal to n+sod(n) for n = 126117392 and 126117401.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 954 + ... + 15910.

Almost surely, 2126117424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126117424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133545024).

126117424 is an abundant number, since it is smaller than the sum of its proper divisors (140972624).

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

126117424 is a wasteful number, since it uses less digits than its factorization.

126117424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15013 (or 15007 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 126117424 is about 11230.2014229487. The cubic root of 126117424 is about 501.4854809885.

The spelling of 126117424 in words is "one hundred twenty-six million, one hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 14957 29914 59828 119656 239312 254269 463667 508538 927334 1017076 1854668 2034152 3709336 4068304 7418672 7882339 15764678 31529356 63058712 126117424