Search a number
-
+
1045024 = 25172113
BaseRepresentation
bin11111111001000100000
31222002111121
43333020200
5231420044
634222024
711611501
oct3771040
91862447
101045024
11654162
12424914
132a7876
141d2ba8
15159984
hexff220

1045024 has 36 divisors (see below), whose sum is σ = 2204874. Its totient is φ = 487424.

The previous prime is 1045021. The next prime is 1045027. The reversal of 1045024 is 4205401.

1045024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045021) and next prime (1045027).

It can be written as a sum of positive squares in 3 ways, for example, as 868624 + 176400 = 932^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1044989 and 1045007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9192 + ... + 9304.

21045024 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 1045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102437).

1045024 is an abundant number, since it is smaller than the sum of its proper divisors (1159850).

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

1045024 is a wasteful number, since it uses less digits than its factorization.

1045024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1045024 is about 1022.2641537294. The cubic root of 1045024 is about 101.4788230225.

The spelling of 1045024 in words is "one million, forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 289 452 544 578 904 1156 1808 1921 2312 3616 3842 4624 7684 9248 15368 30736 32657 61472 65314 130628 261256 522512 1045024