Search a number
-
+
1075144 = 23773263
BaseRepresentation
bin100000110011111001000
32000121211011
410012133020
5233401034
635013304
712065350
oct4063710
92017734
101075144
11674854
1243a234
132b84a5
141ddb60
15163864
hex1067c8

1075144 has 32 divisors (see below), whose sum is σ = 2344320. Its totient is φ = 452736.

The previous prime is 1075141. The next prime is 1075147. The reversal of 1075144 is 4415701.

It is an interprime number because it is at equal distance from previous prime (1075141) and next prime (1075147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075141) 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, 3957 + ... + 4219.

It is an arithmetic number, because the mean of its divisors is an integer number (73260).

21075144 is an apocalyptic number.

1075144 is a gapful number since it is divisible by the number (14) 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 1075144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172160).

1075144 is an abundant number, since it is smaller than the sum of its proper divisors (1269176).

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

1075144 is a wasteful number, since it uses less digits than its factorization.

1075144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 1075144 is about 1036.8915083074. The cubic root of 1075144 is about 102.4445545859. Note that the first 3 decimals are identical.

The spelling of 1075144 in words is "one million, seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 263 292 511 526 584 1022 1052 1841 2044 2104 3682 4088 7364 14728 19199 38398 76796 134393 153592 268786 537572 1075144