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1142288 = 24723147
BaseRepresentation
bin100010110111000010000
32011000220222
410112320100
5243023123
640252212
712465200
oct4267020
92130828
101142288
11710244
12471068
1330cc14
1421a400
151786c8
hex116e10

1142288 has 60 divisors (see below), whose sum is σ = 2714112. Its totient is φ = 463680.

The previous prime is 1142287. The next prime is 1142311. The reversal of 1142288 is 8822411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1142287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24281 + ... + 24327.

21142288 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 1142288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056).

1142288 is an abundant number, since it is smaller than the sum of its proper divisors (1571824).

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

1142288 is a wasteful number, since it uses less digits than its factorization.

1142288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 1142288 is about 1068.7787423036. The cubic root of 1142288 is about 104.5342332689.

Adding to 1142288 its reverse (8822411), we get a palindrome (9964699).

The spelling of 1142288 in words is "one million, one hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 47 49 56 62 94 98 112 124 188 196 217 248 329 376 392 434 496 658 752 784 868 1316 1457 1519 1736 2303 2632 2914 3038 3472 4606 5264 5828 6076 9212 10199 11656 12152 18424 20398 23312 24304 36848 40796 71393 81592 142786 163184 285572 571144 1142288