Search a number
-
+
142713104 = 24191972383
BaseRepresentation
bin10001000000110…
…10000100010000
3100221112120120112
420200122010100
5243013304404
622054500452
73352020122
oct1040320420
9327476515
10142713104
1173615516
123b964728
132374a231
1414d4d212
15c7e056e
hex881a110

142713104 has 40 divisors (see below), whose sum is σ = 292659840. Its totient is φ = 67229568.

The previous prime is 142713073. The next prime is 142713121. The reversal of 142713104 is 401317241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 142713104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58697 + ... + 61079.

It is an arithmetic number, because the mean of its divisors is an integer number (7316496).

Almost surely, 2142713104 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 142713104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146329920).

142713104 is an abundant number, since it is smaller than the sum of its proper divisors (149946736).

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

142713104 is a wasteful number, since it uses less digits than its factorization.

142713104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 142713104 is about 11946.2589960205. The cubic root of 142713104 is about 522.5822054217.

The spelling of 142713104 in words is "one hundred forty-two million, seven hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 197 304 394 788 1576 2383 3152 3743 4766 7486 9532 14972 19064 29944 38128 45277 59888 90554 181108 362216 469451 724432 938902 1877804 3755608 7511216 8919569 17839138 35678276 71356552 142713104