Search a number
-
+
1078416 = 24327489
BaseRepresentation
bin100000111010010010000
32000210022100
410013102100
5234002131
635040400
712111033
oct4072220
92023270
101078416
11677259
12440100
132b9b21
1420101a
151647e6
hex107490

1078416 has 30 divisors (see below), whose sum is σ = 3018470. Its totient is φ = 359424.

The previous prime is 1078411. The next prime is 1078417. The reversal of 1078416 is 6148701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 156816 = 960^2 + 396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1078416.

It is not an unprimeable number, because it can be changed into a prime (1078411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3601 + ... + 3888.

21078416 is an apocalyptic number.

1078416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1078416 is an abundant number, since it is smaller than the sum of its proper divisors (1940054).

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

1078416 is a wasteful number, since it uses less digits than its factorization.

1078416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1078416 is about 1038.4681025434. The cubic root of 1078416 is about 102.5483729638.

The spelling of 1078416 in words is "one million, seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7489 14978 22467 29956 44934 59912 67401 89868 119824 134802 179736 269604 359472 539208 1078416