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142730808 = 2331129103181
BaseRepresentation
bin10001000000111…
…10011000111000
3100221120110212020
420200132120320
5243014341213
622055114440
73352122543
oct1040363070
9327513766
10142730808
1173627850
123b972a20
13237552cc
1414d5585a
15c7e5923
hex881e638

142730808 has 128 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 41126400.

The previous prime is 142730807. The next prime is 142730821. The reversal of 142730808 is 808037241.

142730808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 119472-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142730807) 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 31 ways as a sum of consecutive naturals, for example, 788478 + ... + 788658.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2142730808 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 142730808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

142730808 is an abundant number, since it is smaller than the sum of its proper divisors (266113992).

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

142730808 is a wasteful number, since it uses less digits than its factorization.

142730808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 142730808 is about 11946.9999581485. Note that the first 4 decimals coincide. The cubic root of 142730808 is about 522.6038138387.

The spelling of 142730808 in words is "one hundred forty-two million, seven hundred thirty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 103 116 132 174 181 206 232 264 309 319 348 362 412 543 618 638 696 724 824 957 1086 1133 1236 1276 1448 1914 1991 2172 2266 2472 2552 2987 3399 3828 3982 4344 4532 5249 5973 5974 6798 7656 7964 8961 9064 10498 11946 11948 13596 15747 15928 17922 18643 20996 23892 23896 27192 31494 32857 35844 37286 41992 47784 55929 57739 62988 65714 71688 74572 98571 111858 115478 125976 131428 149144 173217 197142 205073 223716 230956 262856 346434 394284 410146 447432 461912 540647 615219 692868 788568 820292 1081294 1230438 1385736 1621941 1640584 2162588 2460876 3243882 4325176 4921752 5947117 6487764 11894234 12975528 17841351 23788468 35682702 47576936 71365404 142730808