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1053108 = 223372199
BaseRepresentation
bin100000001000110110100
31222111121000
410001012310
5232144413
634323300
711644200
oct4010664
91874530
101053108
1165a241
12429530
132ab454
141d5b00
1515c073
hex1011b4

1053108 has 72 divisors (see below), whose sum is σ = 3192000. Its totient is φ = 299376.

The previous prime is 1053103. The next prime is 1053179. The reversal of 1053108 is 8013501.

It is a happy number.

It is a super-2 number, since 2×10531082 = 2218072919328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053103) 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 23 ways as a sum of consecutive naturals, for example, 5193 + ... + 5391.

21053108 is an apocalyptic number.

1053108 is a gapful number since it is divisible by the number (18) 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 1053108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596000).

1053108 is an abundant number, since it is smaller than the sum of its proper divisors (2138892).

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

1053108 is a wasteful number, since it uses less digits than its factorization.

1053108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1053108 is about 1026.2105047211. The cubic root of 1053108 is about 101.7398213371.

Adding to 1053108 its reverse (8013501), we get a palindrome (9066609).

The spelling of 1053108 in words is "one million, fifty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 199 252 294 378 398 441 588 597 756 796 882 1194 1323 1393 1764 1791 2388 2646 2786 3582 4179 5292 5373 5572 7164 8358 9751 10746 12537 16716 19502 21492 25074 29253 37611 39004 50148 58506 75222 87759 117012 150444 175518 263277 351036 526554 1053108