Search a number
-
+
1016848 = 24721297
BaseRepresentation
bin11111000010000010000
31220122212001
43320100100
5230014343
633443344
711433400
oct3702020
91818761
101016848
11634a78
12410554
13297ab1
141c6800
1515144d
hexf8410

1016848 has 30 divisors (see below), whose sum is σ = 2293566. Its totient is φ = 435456.

The previous prime is 1016843. The next prime is 1016849. The reversal of 1016848 is 8486101.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 784 = 1008^2 + 28^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1016843) 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, 136 + ... + 1432.

21016848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146783).

1016848 is an abundant number, since it is smaller than the sum of its proper divisors (1276718).

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

1016848 is a wasteful number, since it uses less digits than its factorization.

1016848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1016848 is about 1008.3888139007. The cubic root of 1016848 is about 100.5584752478.

The spelling of 1016848 in words is "one million, sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1297 2594 5188 9079 10376 18158 20752 36316 63553 72632 127106 145264 254212 508424 1016848