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142030224 = 24327220129
BaseRepresentation
bin10000111011100…
…11010110010000
3100220020212211200
420131303112100
5242324431344
622032111200
73343144200
oct1035632620
9326225750
10142030224
1173199456
123b695500
132356b46b
1414c12400
15c708069
hex8773590

142030224 has 90 divisors (see below), whose sum is σ = 462406230. Its totient is φ = 40578048.

The previous prime is 142030211. The next prime is 142030237. The reversal of 142030224 is 422030241.

It is an interprime number because it is at equal distance from previous prime (142030211) and next prime (142030237).

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 3732624 = 11760^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142030197 and 142030206.

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 17 ways as a sum of consecutive naturals, for example, 3009 + ... + 17120.

It is an arithmetic number, because the mean of its divisors is an integer number (5137847).

Almost surely, 2142030224 is an apocalyptic number.

142030224 is a gapful number since it is divisible by the number (14) 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 142030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231203115).

142030224 is an abundant number, since it is smaller than the sum of its proper divisors (320376006).

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

142030224 is a wasteful number, since it uses less digits than its factorization.

142030224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142030224 is about 11917.6433912078. The cubic root of 142030224 is about 521.7473564935.

Adding to 142030224 its reverse (422030241), we get a palindrome (564060465).

The spelling of 142030224 in words is "one hundred forty-two million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 20129 40258 60387 80516 120774 140903 161032 181161 241548 281806 322064 362322 422709 483096 563612 724644 845418 966192 986321 1127224 1268127 1449288 1690836 1972642 2254448 2536254 2898576 2958963 3381672 3945284 5072508 5917926 6763344 7890568 8876889 10145016 11835852 15781136 17753778 20290032 23671704 35507556 47343408 71015112 142030224