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120290868 = 22323341413
BaseRepresentation
bin1110010101101…
…11111000110100
322101100102001100
413022313320310
5221243301433
615534130100
72660312145
oct712677064
9271312040
10120290868
11619a0345
1234350930
131bbc9439
1411d93acc
15a861b13
hex72b7e34

120290868 has 18 divisors (see below), whose sum is σ = 304068674. Its totient is φ = 40096944.

The previous prime is 120290839. The next prime is 120290893. The reversal of 120290868 is 868092021.

It can be written as a sum of positive squares in only one way, i.e., 105637284 + 14653584 = 10278^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3341413 = 120290868 / (1 + 2 + 0 + 2 + 9 + 0 + 8 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1670671 + ... + 1670742.

Almost surely, 2120290868 is an apocalyptic number.

120290868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120290868 is an abundant number, since it is smaller than the sum of its proper divisors (183777806).

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

120290868 is a wasteful number, since it uses less digits than its factorization.

120290868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341423 (or 3341418 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 120290868 is about 10967.7193618364. The cubic root of 120290868 is about 493.6406167351.

The spelling of 120290868 in words is "one hundred twenty million, two hundred ninety thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3341413 6682826 10024239 13365652 20048478 30072717 40096956 60145434 120290868