Search a number
-
+
1072148 = 22711592
BaseRepresentation
bin100000101110000010100
32000110201012
410011300110
5233302043
634551352
712053540
oct4056024
92013635
101072148
11672580
12438558
132b700c
141dca20
15162a18
hex105c14

1072148 has 36 divisors (see below), whose sum is σ = 2379552. Its totient is φ = 410640.

The previous prime is 1072147. The next prime is 1072157. The reversal of 1072148 is 8412701.

It is a super-2 number, since 2×10721482 = 2299002667808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072147) 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 11 ways as a sum of consecutive naturals, for example, 18143 + ... + 18201.

21072148 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 1072148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189776).

1072148 is an abundant number, since it is smaller than the sum of its proper divisors (1307404).

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

1072148 is a wasteful number, since it uses less digits than its factorization.

1072148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1072148 is about 1035.4457977123. The cubic root of 1072148 is about 102.3493086098.

Adding to 1072148 its reverse (8412701), we get a palindrome (9484849).

The spelling of 1072148 in words is "one million, seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 826 1298 1652 2596 3481 4543 6962 9086 13924 18172 24367 38291 48734 76582 97468 153164 268037 536074 1072148