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142005513 = 31331731609
BaseRepresentation
bin10000111011011…
…01010100001001
3100220012121221110
420131231110021
5242323134023
622031400533
73343012146
oct1035552411
9326177843
10142005513
1173181931
123b683149
1323560140
1414c073cd
15c700a93
hex876d509

142005513 has 32 divisors (see below), whose sum is σ = 213498880. Its totient is φ = 83358720.

The previous prime is 142005503. The next prime is 142005517. The reversal of 142005513 is 315500241.

It is not a de Polignac number, because 142005513 - 25 = 142005481 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142005513.

It is not an unprimeable number, because it can be changed into a prime (142005517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87453 + ... + 89061.

It is an arithmetic number, because the mean of its divisors is an integer number (6671840).

Almost surely, 2142005513 is an apocalyptic number.

142005513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142005513 is a deficient number, since it is larger than the sum of its proper divisors (71493367).

142005513 is a wasteful number, since it uses less digits than its factorization.

142005513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 142005513 is about 11916.6066059093. The cubic root of 142005513 is about 521.7170961579.

Adding to 142005513 its reverse (315500241), we get a palindrome (457505754).

The spelling of 142005513 in words is "one hundred forty-two million, five thousand, five hundred thirteen".

Divisors: 1 3 13 31 39 73 93 219 403 949 1209 1609 2263 2847 4827 6789 20917 29419 49879 62751 88257 117457 149637 352371 648427 1526941 1945281 3641167 4580823 10923501 47335171 142005513