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1141272 = 2332112131
BaseRepresentation
bin100010110101000011000
32010222112100
410112220120
5243010042
640243400
712462216
oct4265030
92128470
101141272
1170a500
12470560
1330c612
14219cb6
1517824c
hex116a18

1141272 has 72 divisors (see below), whose sum is σ = 3423420. Its totient is φ = 343200.

The previous prime is 1141271. The next prime is 1141277. The reversal of 1141272 is 2721411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141271) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8647 + ... + 8777.

21141272 is an apocalyptic number.

1141272 is a gapful number since it is divisible by the number (12) 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 1141272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711710).

1141272 is an abundant number, since it is smaller than the sum of its proper divisors (2282148).

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

1141272 is a wasteful number, since it uses less digits than its factorization.

1141272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 1141272 is about 1068.3033277118. The cubic root of 1141272 is about 104.5032316637.

Adding to 1141272 its reverse (2721411), we get a palindrome (3862683).

The spelling of 1141272 in words is "one million, one hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 131 132 198 242 262 264 363 393 396 484 524 726 786 792 968 1048 1089 1179 1441 1452 1572 2178 2358 2882 2904 3144 4323 4356 4716 5764 8646 8712 9432 11528 12969 15851 17292 25938 31702 34584 47553 51876 63404 95106 103752 126808 142659 190212 285318 380424 570636 1141272