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120143440 = 2453721097
BaseRepresentation
bin1110010100100…
…11111001010000
322101001220211001
413022103321100
5221224042230
615531031344
72656126264
oct712237120
9271056731
10120143440
11618aa5aa
123429b554
131bb772c1
1411d560a4
15a8330ca
hex7293e50

120143440 has 60 divisors (see below), whose sum is σ = 287348796. Its totient is φ = 46715904.

The previous prime is 120143417. The next prime is 120143453. The reversal of 120143440 is 44341021.

It can be written as a sum of positive squares in 6 ways, for example, as 8714304 + 111429136 = 2952^2 + 10556^2 .

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 11 ways as a sum of consecutive naturals, for example, 108972 + ... + 110068.

Almost surely, 2120143440 is an apocalyptic number.

120143440 is a gapful number since it is divisible by the number (10) 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 120143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143674398).

120143440 is an abundant number, since it is smaller than the sum of its proper divisors (167205356).

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

120143440 is a wasteful number, since it uses less digits than its factorization.

120143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 120143440 is about 10960.9963050810. The cubic root of 120143440 is about 493.4388663119.

Adding to 120143440 its reverse (44341021), we get a palindrome (164484461).

The spelling of 120143440 in words is "one hundred twenty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1097 1369 1480 2194 2738 2960 4388 5476 5485 6845 8776 10952 10970 13690 17552 21904 21940 27380 40589 43880 54760 81178 87760 109520 162356 202945 324712 405890 649424 811780 1501793 1623560 3003586 3247120 6007172 7508965 12014344 15017930 24028688 30035860 60071720 120143440