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120142344 = 23374316631
BaseRepresentation
bin1110010100100…
…11101000001000
322101001212022110
413022103220020
5221224023334
615531022320
72656123140
oct712235010
9271055273
10120142344
11618a97a3
123429a9a0
131bb7695a
1411d55920
15a832ae9
hex7293a08

120142344 has 64 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 33526080.

The previous prime is 120142333. The next prime is 120142403. The reversal of 120142344 is 443241021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 120142344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2120142344 is an apocalyptic number.

120142344 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 120142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

120142344 is an abundant number, since it is smaller than the sum of its proper divisors (231125496).

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

120142344 is a wasteful number, since it uses less digits than its factorization.

120142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16690 (or 16686 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 120142344 is about 10960.9463095118. The cubic root of 120142344 is about 493.4373658536.

Adding to 120142344 its reverse (443241021), we get a palindrome (563383365).

The spelling of 120142344 in words is "one hundred twenty million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 16631 33262 49893 66524 99786 116417 133048 199572 232834 349251 399144 465668 698502 715133 931336 1397004 1430266 2145399 2794008 2860532 4290798 5005931 5721064 8581596 10011862 15017793 17163192 20023724 30035586 40047448 60071172 120142344