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1129068 = 223279397
BaseRepresentation
bin100010011101001101100
32010100210100
410103221230
5242112233
640111100
712411513
oct4235154
92110710
101129068
11701316
12465490
13306bb5
1421567a
15174813
hex113a6c

1129068 has 36 divisors (see below), whose sum is σ = 2897440. Its totient is φ = 370656.

The previous prime is 1129043. The next prime is 1129103. The reversal of 1129068 is 8609211.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2646 + ... + 3042.

21129068 is an apocalyptic number.

1129068 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 1129068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448720).

1129068 is an abundant number, since it is smaller than the sum of its proper divisors (1768372).

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

1129068 is a wasteful number, since it uses less digits than its factorization.

1129068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1129068 is about 1062.5761149207. The cubic root of 1129068 is about 104.1294000736.

It can be divided in two parts, 112 and 9068, that added together give a triangular number (9180 = T135).

The spelling of 1129068 in words is "one million, one hundred twenty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 397 474 711 794 948 1191 1422 1588 2382 2844 3573 4764 7146 14292 31363 62726 94089 125452 188178 282267 376356 564534 1129068