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1078272 = 2103413
BaseRepresentation
bin100000111010000000000
32000210010000
410013100000
5234001042
635040000
712110436
oct4072000
92023100
101078272
11677138
12440000
132b9a40
14200d56
1516474c
hex107400

1078272 has 110 divisors (see below), whose sum is σ = 3467618. Its totient is φ = 331776.

The previous prime is 1078247. The next prime is 1078331. The reversal of 1078272 is 2728701.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 331776 = 864^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 82938 + ... + 82950.

21078272 is an apocalyptic number.

1078272 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 1078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733809).

1078272 is an abundant number, since it is smaller than the sum of its proper divisors (2389346).

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

1078272 is an equidigital number, since it uses as much as digits as its factorization.

1078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1078272 is about 1038.3987673336. The cubic root of 1078272 is about 102.5438083608.

The spelling of 1078272 in words is "one million, seventy-eight thousand, two hundred seventy-two".