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1143072 = 253672
BaseRepresentation
bin100010111000100100000
32011002000000
410113010200
5243034242
640300000
712500400
oct4270440
92132000
101143072
11710897
12471600
13310398
1421a800
15178a4c
hex117120

1143072 has 126 divisors (see below), whose sum is σ = 3924963. Its totient is φ = 326592.

The previous prime is 1143071. The next prime is 1143073. The reversal of 1143072 is 2703411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1143071) and next prime (1143073).

It can be written as a sum of positive squares in only one way, i.e., 571536 + 571536 = 756^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=756.

It is a super-2 number, since 2×11430722 = 2613227194368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1143071) 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 20 ways as a sum of consecutive naturals, for example, 163293 + ... + 163299.

21143072 is an apocalyptic number.

1143072 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 1143072

1143072 is an abundant number, since it is smaller than the sum of its proper divisors (2781891).

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

1143072 is an frugal number, since it uses more digits than its factorization.

1143072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1143072 is about 1069.1454531541. The cubic root of 1143072 is about 104.5581432041.

Multiplying 1143072 by its sum of digits (18), we get a square (20575296 = 45362).

1143072 divided by its sum of digits (18) gives a square (63504 = 2522).

Adding to 1143072 its reverse (2703411), we get a palindrome (3846483).

The spelling of 1143072 in words is "one million, one hundred forty-three thousand, seventy-two".