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120072329 = 1310984737
BaseRepresentation
bin1110010100000…
…10100010001001
322100221022021022
413022002202021
5221214303304
615525322225
72655412046
oct712024211
9270838238
10120072329
1161861133
1234266375
131bb50b20
1411d381cd
15a81bebe
hex7282889

120072329 has 8 divisors (see below), whose sum is σ = 130496520. Its totient is φ = 109817856.

The previous prime is 120072319. The next prime is 120072347. The reversal of 120072329 is 923270021.

It can be written as a sum of positive squares in 4 ways, for example, as 20611600 + 99460729 = 4540^2 + 9973^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120072329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120072298 and 120072307.

It is not an unprimeable number, because it can be changed into a prime (120072319) 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, 40952 + ... + 43785.

It is an arithmetic number, because the mean of its divisors is an integer number (16312065).

Almost surely, 2120072329 is an apocalyptic number.

It is an amenable number.

120072329 is a deficient number, since it is larger than the sum of its proper divisors (10424191).

120072329 is a wasteful number, since it uses less digits than its factorization.

120072329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84859.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 120072329 is about 10957.7520048594. The cubic root of 120072329 is about 493.3414942141.

The spelling of 120072329 in words is "one hundred twenty million, seventy-two thousand, three hundred twenty-nine".

Divisors: 1 13 109 1417 84737 1101581 9236333 120072329