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142232024 = 231119257331
BaseRepresentation
bin10000111101001…
…00100111011000
3100220122010122202
420132210213120
5242402411044
622040305332
73344644424
oct1036444730
9326563582
10142232024
1173317030
123b772248
132360c27c
1414c65b84
15c747c4e
hex87a49d8

142232024 has 64 divisors (see below), whose sum is σ = 308361600. Its totient is φ = 60825600.

The previous prime is 142232017. The next prime is 142232039. The reversal of 142232024 is 420232241.

It is a super-2 number, since 2×1422320242 = 40459897302273152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142231987 and 142232005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 429539 + ... + 429869.

It is an arithmetic number, because the mean of its divisors is an integer number (4818150).

Almost surely, 2142232024 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 142232024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154180800).

142232024 is an abundant number, since it is smaller than the sum of its proper divisors (166129576).

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

142232024 is a wasteful number, since it uses less digits than its factorization.

142232024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 142232024 is about 11926.1068249450. The cubic root of 142232024 is about 521.9943433375.

Adding to 142232024 its reverse (420232241), we get a palindrome (562464265).

The spelling of 142232024 in words is "one hundred forty-two million, two hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 257 331 418 514 662 836 1028 1324 1672 2056 2648 2827 3641 4883 5654 6289 7282 9766 11308 12578 14564 19532 22616 25156 29128 39064 50312 53713 69179 85067 107426 138358 170134 214852 276716 340268 429704 553432 680536 935737 1616273 1871474 3232546 3742948 6465092 7485896 12930184 17779003 35558006 71116012 142232024