Search a number
-
+
1071456 = 25311161
BaseRepresentation
bin100000101100101100000
32000102202120
410011211200
5233241311
634544240
712051531
oct4054540
92012676
101071456
11672001
12438080
132b68c9
141dc688
15162706
hex105960

1071456 has 24 divisors (see below), whose sum is σ = 2812824. Its totient is φ = 357120.

The previous prime is 1071451. The next prime is 1071457. The reversal of 1071456 is 6541701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10714562 = 2296035919872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071451) 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 3 ways as a sum of consecutive naturals, for example, 5485 + ... + 5676.

It is an arithmetic number, because the mean of its divisors is an integer number (117201).

21071456 is an apocalyptic number.

1071456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1071456 is an abundant number, since it is smaller than the sum of its proper divisors (1741368).

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

1071456 is a wasteful number, since it uses less digits than its factorization.

1071456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1071456 is about 1035.1115881875. Note that the first 3 decimals coincide. The cubic root of 1071456 is about 102.3272839873.

1071456 divided by its sum of digits (24) gives a palindrome (44644).

The spelling of 1071456 in words is "one million, seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11161 22322 33483 44644 66966 89288 133932 178576 267864 357152 535728 1071456