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120430044 = 2233733251
BaseRepresentation
bin1110010110110…
…01110111011100
322101121110222000
413023121313130
5221312230134
615541122300
72661432000
oct713316734
9271543860
10120430044
1161a85969
12343b9390
131bc478a7
1411dcc700
15a88ce99
hex72d9ddc

120430044 has 96 divisors (see below), whose sum is σ = 364224000. Its totient is φ = 34398000.

The previous prime is 120430007. The next prime is 120430087. The reversal of 120430044 is 440034021.

120430044 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

120430044 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 120429999 and 120430026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35419 + ... + 38669.

It is an arithmetic number, because the mean of its divisors is an integer number (3794000).

Almost surely, 2120430044 is an apocalyptic number.

120430044 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 120430044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182112000).

120430044 is an abundant number, since it is smaller than the sum of its proper divisors (243793956).

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

120430044 is a wasteful number, since it uses less digits than its factorization.

120430044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3263 counting only the distinct ones).

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

The square root of 120430044 is about 10974.0623289646. The cubic root of 120430044 is about 493.8309233597.

Adding to 120430044 its reverse (440034021), we get a palindrome (560464065).

The spelling of 120430044 in words is "one hundred twenty million, four hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 3251 4116 5292 6174 6502 9261 9753 12348 13004 18522 19506 22757 29259 37044 39012 45514 58518 68271 87777 91028 117036 136542 159299 175554 204813 273084 318598 351108 409626 477897 614439 637196 819252 955794 1115093 1228878 1433691 1911588 2230186 2457756 2867382 3345279 4301073 4460372 5734764 6690558 8602146 10035837 13381116 17204292 20071674 30107511 40143348 60215022 120430044