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120864729 = 3613531871
BaseRepresentation
bin1110011010000…
…11111111011001
322102102120020110
413031003333121
5221420132404
615554314533
72665222206
oct715037731
9272376213
10120864729
1162252507
1234588a49
131c06a6bb
14120a2cad
15a926b89
hex7343fd9

120864729 has 16 divisors (see below), whose sum is σ = 164346624. Its totient is φ = 78988800.

The previous prime is 120864727. The next prime is 120864769. The reversal of 120864729 is 927468021.

It is not a de Polignac number, because 120864729 - 21 = 120864727 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120864727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63664 + ... + 65534.

It is an arithmetic number, because the mean of its divisors is an integer number (10271664).

Almost surely, 2120864729 is an apocalyptic number.

It is an amenable number.

120864729 is a deficient number, since it is larger than the sum of its proper divisors (43481895).

120864729 is a wasteful number, since it uses less digits than its factorization.

120864729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 120864729 is about 10993.8495987529. The cubic root of 120864729 is about 494.4243609437.

The spelling of 120864729 in words is "one hundred twenty million, eight hundred sixty-four thousand, seven hundred twenty-nine".

Divisors: 1 3 61 183 353 1059 1871 5613 21533 64599 114131 342393 660463 1981389 40288243 120864729