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1072120 = 23572547
BaseRepresentation
bin100000101101111111000
32000110200011
410011233320
5233301440
634551304
712053500
oct4055770
92013604
101072120
11672555
12438534
132b6cba
141dca00
151629ea
hex105bf8

1072120 has 48 divisors (see below), whose sum is σ = 2811240. Its totient is φ = 366912.

The previous prime is 1072103. The next prime is 1072129. The reversal of 1072120 is 212701.

It is a super-2 number, since 2×10721202 = 2298882588800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1687 + ... + 2233.

21072120 is an apocalyptic number.

1072120 is a gapful number since it is divisible by the number (10) 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 1072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405620).

1072120 is an abundant number, since it is smaller than the sum of its proper divisors (1739120).

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

1072120 is a wasteful number, since it uses less digits than its factorization.

1072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1072120 is about 1035.4322768776. The cubic root of 1072120 is about 102.3484176241.

Adding to 1072120 its reverse (212701), we get a palindrome (1284821).

The spelling of 1072120 in words is "one million, seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 547 980 1094 1960 2188 2735 3829 4376 5470 7658 10940 15316 19145 21880 26803 30632 38290 53606 76580 107212 134015 153160 214424 268030 536060 1072120