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142322424 = 23337831931
BaseRepresentation
bin10000111101110…
…10101011111000
3100220210201122220
420132322223320
5242413304144
622042244040
73345502116
oct1036725370
9326721586
10142322424
1173378a42
123b7b6620
132364146a
1414c8aab6
15c764919
hex87baaf8

142322424 has 64 divisors (see below), whose sum is σ = 370016640. Its totient is φ = 45578880.

The previous prime is 142322399. The next prime is 142322443. The reversal of 142322424 is 424223241.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142322394 and 142322403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72739 + ... + 74669.

It is an arithmetic number, because the mean of its divisors is an integer number (5781510).

Almost surely, 2142322424 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 142322424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185008320).

142322424 is an abundant number, since it is smaller than the sum of its proper divisors (227694216).

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

142322424 is a wasteful number, since it uses less digits than its factorization.

142322424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2056 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 142322424 is about 11929.8962275453. The cubic root of 142322424 is about 522.1049098459.

Adding to 142322424 its reverse (424223241), we get a palindrome (566545665).

The spelling of 142322424 in words is "one hundred forty-two million, three hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 83 111 148 166 222 249 296 332 444 498 664 888 996 1931 1992 3071 3862 5793 6142 7724 9213 11586 12284 15448 18426 23172 24568 36852 46344 71447 73704 142894 160273 214341 285788 320546 428682 480819 571576 641092 857364 961638 1282184 1714728 1923276 3846552 5930101 11860202 17790303 23720404 35580606 47440808 71161212 142322424