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120543993 = 32113118529
BaseRepresentation
bin1110010111101…
…01101011111001
322101211021021100
413023311223321
5221324401433
615543402013
72662415133
oct713655371
9271737240
10120543993
1162053539
1234453309
131bc8770b
141201c053
15a8b1b13
hex72f5af9

120543993 has 12 divisors (see below), whose sum is σ = 175661460. Its totient is φ = 79650816.

The previous prime is 120543979. The next prime is 120544001. The reversal of 120543993 is 399345021.

It is a happy number.

120543993 is a `hidden beast` number, since 1 + 20 + 543 + 9 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25130169 + 95413824 = 5013^2 + 9768^2 .

It is not a de Polignac number, because 120543993 - 210 = 120542969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120543793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58248 + ... + 60281.

It is an arithmetic number, because the mean of its divisors is an integer number (14638455).

Almost surely, 2120543993 is an apocalyptic number.

It is an amenable number.

120543993 is a deficient number, since it is larger than the sum of its proper divisors (55117467).

120543993 is a wasteful number, since it uses less digits than its factorization.

120543993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118648 (or 118645 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 120543993 is about 10979.2528434316. The cubic root of 120543993 is about 493.9866259280.

The spelling of 120543993 in words is "one hundred twenty million, five hundred forty-three thousand, nine hundred ninety-three".

Divisors: 1 3 9 113 339 1017 118529 355587 1066761 13393777 40181331 120543993