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1293966 = 23271887
BaseRepresentation
bin100111011111010001110
32102201222200
410323322032
5312401331
643422330
713666332
oct4737216
92381880
101293966
118041a3
125249a6
13363c7b
142597c2
151a85e6
hex13be8e

1293966 has 12 divisors (see below), whose sum is σ = 2803632. Its totient is φ = 431316.

The previous prime is 1293961. The next prime is 1293967. The reversal of 1293966 is 6693921.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1293966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35926 + ... + 35961.

It is an arithmetic number, because the mean of its divisors is an integer number (233636).

21293966 is an apocalyptic number.

1293966 is an abundant number, since it is smaller than the sum of its proper divisors (1509666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1293966 is a wasteful number, since it uses less digits than its factorization.

1293966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71895 (or 71892 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 1293966 is about 1137.5262634331. The cubic root of 1293966 is about 108.9701683085.

It can be divided in two parts, 129 and 3966, that added together give a triangular number (4095 = T90).

The spelling of 1293966 in words is "one million, two hundred ninety-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 71887 143774 215661 431322 646983 1293966