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120143120 = 2454136629
BaseRepresentation
bin1110010100100…
…11110100010000
322101001220101012
413022103310100
5221224034440
615531030052
72656125326
oct712236420
9271056335
10120143120
11618aa339
123429b328
131bb77106
1411d55d16
15a832e65
hex7293d10

120143120 has 40 divisors (see below), whose sum is σ = 286153560. Its totient is φ = 46883840.

The previous prime is 120143119. The next prime is 120143123. The reversal of 120143120 is 21341021.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 108826624 = 3364^2 + 10432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 120143095 and 120143104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120143123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15035 + ... + 21594.

It is an arithmetic number, because the mean of its divisors is an integer number (7153839).

Almost surely, 2120143120 is an apocalyptic number.

120143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120143120 is an abundant number, since it is smaller than the sum of its proper divisors (166010440).

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

120143120 is a wasteful number, since it uses less digits than its factorization.

120143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36683 (or 36677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 120143120 is about 10960.9817078581. The cubic root of 120143120 is about 493.4384282228.

Adding to 120143120 its reverse (21341021), we get a palindrome (141484141).

The spelling of 120143120 in words is "one hundred twenty million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 36629 73258 146516 183145 293032 366290 586064 732580 1465160 1501789 2930320 3003578 6007156 7508945 12014312 15017890 24028624 30035780 60071560 120143120