Search a number
-
+
141730008 = 2337899479
BaseRepresentation
bin10000111001010…
…10000011011000
3100212200122000120
420130222003120
5242240330013
622021433240
73340454010
oct1034520330
9325618016
10141730008
1173003942
123b56b820
1323494914
1414b74c40
15c699123
hex872a0d8

141730008 has 64 divisors (see below), whose sum is σ = 409536000. Its totient is φ = 40035072.

The previous prime is 141729971. The next prime is 141730033. The reversal of 141730008 is 800037141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141730008.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10213 + ... + 19691.

It is an arithmetic number, because the mean of its divisors is an integer number (6399000).

Almost surely, 2141730008 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 141730008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204768000).

141730008 is an abundant number, since it is smaller than the sum of its proper divisors (267805992).

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

141730008 is a wasteful number, since it uses less digits than its factorization.

141730008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9584 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 141730008 is about 11905.0412851027. The cubic root of 141730008 is about 521.3794831556.

Adding to 141730008 its reverse (800037141), we get a palindrome (941767149).

The spelling of 141730008 in words is "one hundred forty-one million, seven hundred thirty thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 7476 9479 14952 18958 28437 37916 56874 66353 75832 113748 132706 199059 227496 265412 398118 530824 796236 843631 1592472 1687262 2530893 3374524 5061786 5905417 6749048 10123572 11810834 17716251 20247144 23621668 35432502 47243336 70865004 141730008