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1327392 = 253211419
BaseRepresentation
bin101000100000100100000
32111102211200
411010010200
5314434032
644241200
714165643
oct5040440
92442750
101327392
11827320
12540200
13376251
14267a5a
151b347c
hex144120

1327392 has 72 divisors (see below), whose sum is σ = 4127760. Its totient is φ = 401280.

The previous prime is 1327387. The next prime is 1327409. The reversal of 1327392 is 2937231.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2959 + ... + 3377.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

21327392 is an apocalyptic number.

1327392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063880).

1327392 is an abundant number, since it is smaller than the sum of its proper divisors (2800368).

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

1327392 is a wasteful number, since it uses less digits than its factorization.

1327392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 435 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1327392 is about 1152.1249932191. The cubic root of 1327392 is about 109.9005161146.

The spelling of 1327392 in words is "one million, three hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 419 528 792 838 1056 1257 1584 1676 2514 3168 3352 3771 4609 5028 6704 7542 9218 10056 13408 13827 15084 18436 20112 27654 30168 36872 40224 41481 55308 60336 73744 82962 110616 120672 147488 165924 221232 331848 442464 663696 1327392