Search a number
-
+
1040928 = 25371549
BaseRepresentation
bin11111110001000100000
31221212212220
43332020200
5231302203
634151040
711563530
oct3761040
91855786
101040928
11651079
12422480
132a5a45
141d14c0
15158653
hexfe220

1040928 has 48 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 297216.

The previous prime is 1040899. The next prime is 1040929. The reversal of 1040928 is 8290401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10409282 = 2167062202368, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1040898 and 1040907.

It is not an unprimeable number, because it can be changed into a prime (1040929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

21040928 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 1040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1040928 is an abundant number, since it is smaller than the sum of its proper divisors (2083872).

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

1040928 is a wasteful number, since it uses less digits than its factorization.

1040928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1040928 is about 1020.2587906997. The cubic root of 1040928 is about 101.3460664209.

The spelling of 1040928 in words is "one million, forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1549 3098 4647 6196 9294 10843 12392 18588 21686 24784 32529 37176 43372 49568 65058 74352 86744 130116 148704 173488 260232 346976 520464 1040928