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142703136 = 2532539349
BaseRepresentation
bin10001000000101…
…11101000100000
3100221112001220100
420200113220200
5243013000021
622054342400
73351646062
oct1040275040
9327461810
10142703136
1173608a84
123b95aa00
1323745834
1414d49732
15c7dc626
hex8817a20

142703136 has 72 divisors (see below), whose sum is σ = 413513100. Its totient is φ = 46665216.

The previous prime is 142703131. The next prime is 142703149. The reversal of 142703136 is 631307241.

It can be written as a sum of positive squares in 2 ways, for example, as 128595600 + 14107536 = 11340^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (142703131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10590 + ... + 19938.

Almost surely, 2142703136 is an apocalyptic number.

142703136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142703136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206756550).

142703136 is an abundant number, since it is smaller than the sum of its proper divisors (270809964).

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

142703136 is a wasteful number, since it uses less digits than its factorization.

142703136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 142703136 is about 11945.8417869985. The cubic root of 142703136 is about 522.5700383056.

The spelling of 142703136 in words is "one hundred forty-two million, seven hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 9349 15264 18698 28047 37396 56094 74792 84141 112188 149584 168282 224376 299168 336564 448752 495497 673128 897504 990994 1346256 1486491 1981988 2692512 2972982 3963976 4459473 5945964 7927952 8918946 11891928 15855904 17837892 23783856 35675784 47567712 71351568 142703136