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1323072 = 26322297
BaseRepresentation
bin101000011000001000000
32111012220200
411003001000
5314314242
644205200
714150232
oct5030100
92435820
101323072
11824053
12539800
133742aa
14266252
151b204c
hex143040

1323072 has 42 divisors (see below), whose sum is σ = 3793998. Its totient is φ = 440832.

The previous prime is 1323053. The next prime is 1323073. The reversal of 1323072 is 2703231.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 207936 = 1056^2 + 456^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1323073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 573 + ... + 1724.

21323072 is an apocalyptic number.

1323072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1323072 is an abundant number, since it is smaller than the sum of its proper divisors (2470926).

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

1323072 is a wasteful number, since it uses less digits than its factorization.

1323072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 1323072 is about 1150.2486687669. The cubic root of 1323072 is about 109.7811627235.

It can be divided in two parts, 132 and 3072, that multiplied together give a palindrome (405504).

The spelling of 1323072 in words is "one million, three hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2297 4594 6891 9188 13782 18376 20673 27564 36752 41346 55128 73504 82692 110256 147008 165384 220512 330768 441024 661536 1323072