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1029393 = 32114377
BaseRepresentation
bin11111011010100010001
31221022001200
43323110101
5230420033
634021413
711515101
oct3732421
91838050
101029393
11643442
12417869
132a0711
141cb201
15155013
hexfb511

1029393 has 6 divisors (see below), whose sum is σ = 1486914. Its totient is φ = 686256.

The previous prime is 1029383. The next prime is 1029403. The reversal of 1029393 is 3939201.

It is an interprime number because it is at equal distance from previous prime (1029383) and next prime (1029403).

It can be written as a sum of positive squares in only one way, i.e., 589824 + 439569 = 768^2 + 663^2 .

It is not a de Polignac number, because 1029393 - 25 = 1029361 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1029323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57180 + ... + 57197.

It is an arithmetic number, because the mean of its divisors is an integer number (247819).

21029393 is an apocalyptic number.

It is an amenable number.

1029393 is a deficient number, since it is larger than the sum of its proper divisors (457521).

1029393 is a wasteful number, since it uses less digits than its factorization.

1029393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114383 (or 114380 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 1029393 is about 1014.5900650016. The cubic root of 1029393 is about 100.9703209859.

It can be divided in two parts, 10 and 29393, that added together give a triangular number (29403 = T242).

The spelling of 1029393 in words is "one million, twenty-nine thousand, three hundred ninety-three".

Divisors: 1 3 9 114377 343131 1029393