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134415006 = 231119372897
BaseRepresentation
bin10000000001100…
…00001010011110
3100100220222201120
420000300022132
5233402240011
621200551410
73221336325
oct1000601236
9310828646
10134415006
1169967a90
1239022566
1321b0320b
1413bcd0bc
15bc01a06
hex803029e

134415006 has 64 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 37532160.

The previous prime is 134414981. The next prime is 134415007. The reversal of 134415006 is 600514431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134415007) 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, 44950 + ... + 47846.

It is an arithmetic number, because the mean of its divisors is an integer number (4955580).

Almost surely, 2134415006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134415006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

134415006 is an abundant number, since it is smaller than the sum of its proper divisors (182742114).

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

134415006 is a wasteful number, since it uses less digits than its factorization.

134415006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 134415006 is about 11593.7485741239. The cubic root of 134415006 is about 512.2507291456.

Adding to 134415006 its reverse (600514431), we get a palindrome (734929437).

The spelling of 134415006 in words is "one hundred thirty-four million, four hundred fifteen thousand, six".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 2897 4218 5794 7733 8691 15466 17382 23199 31867 46398 55043 63734 95601 107189 110086 165129 191202 214378 321567 330258 605473 643134 1179079 1210946 1816419 2036591 2358158 3537237 3632838 4073182 6109773 7074474 12219546 22402501 44805002 67207503 134415006