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120838047 = 3113661759
BaseRepresentation
bin1110011001111…
…01011110011111
322102101012122020
413030331132133
5221413304142
615553551223
72665051341
oct714753637
9272335566
10120838047
1162234460
1234575513
131c05b505
1412097291
15a91dcec
hex733d79f

120838047 has 8 divisors (see below), whose sum is σ = 175764480. Its totient is φ = 73235160.

The previous prime is 120838013. The next prime is 120838049. The reversal of 120838047 is 740838021.

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

It is not a de Polignac number, because 120838047 - 210 = 120837023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3661759 = 120838047 / (1 + 2 + 0 + 8 + 3 + 8 + 0 + 4 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 120837999 and 120838017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120838049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1830847 + ... + 1830912.

It is an arithmetic number, because the mean of its divisors is an integer number (21970560).

Almost surely, 2120838047 is an apocalyptic number.

120838047 is a deficient number, since it is larger than the sum of its proper divisors (54926433).

120838047 is a wasteful number, since it uses less digits than its factorization.

120838047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661773.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 120838047 is about 10992.6360350919. The cubic root of 120838047 is about 494.3879753585.

The spelling of 120838047 in words is "one hundred twenty million, eight hundred thirty-eight thousand, forty-seven".

Divisors: 1 3 11 33 3661759 10985277 40279349 120838047