Search a number
-
+
126142407 = 3347107929
BaseRepresentation
bin1111000010011…
…00011111000111
322210100200212000
413201030133013
5224243024112
620303400343
73061123056
oct741143707
9283320760
10126142407
1165227726
12362b30b3
13201979a1
1412a7839d
15b11a7dc
hex784c7c7

126142407 has 32 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 81448704.

The previous prime is 126142399. The next prime is 126142421. The reversal of 126142407 is 704241621.

126142407 is a `hidden beast` number, since 1 + 2 + 614 + 2 + 40 + 7 = 666.

It is not a de Polignac number, because 126142407 - 23 = 126142399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126142447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135319 + ... + 136247.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2126142407 is an apocalyptic number.

126142407 is a deficient number, since it is larger than the sum of its proper divisors (66702393).

126142407 is a wasteful number, since it uses less digits than its factorization.

126142407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 126142407 is about 11231.3136809547. The cubic root of 126142407 is about 501.5185924181.

The spelling of 126142407 in words is "one hundred twenty-six million, one hundred forty-two thousand, four hundred seven".

Divisors: 1 3 9 27 47 107 141 321 423 929 963 1269 2787 2889 5029 8361 15087 25083 43663 45261 99403 130989 135783 298209 392967 894627 1178901 2683881 4671941 14015823 42047469 126142407