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1046112 = 25317641
BaseRepresentation
bin11111111011001100000
31222010222220
43333121200
5231433422
634231040
711614614
oct3773140
91863886
101046112
11654a61
12425480
132a8202
141d3344
15159e5c
hexff660

1046112 has 48 divisors (see below), whose sum is σ = 2912112. Its totient is φ = 327680.

The previous prime is 1046081. The next prime is 1046113. The reversal of 1046112 is 2116401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1046091 and 1046100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (60669).

21046112 is an apocalyptic number.

1046112 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 1046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456056).

1046112 is an abundant number, since it is smaller than the sum of its proper divisors (1866000).

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

1046112 is a wasteful number, since it uses less digits than its factorization.

1046112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1046112 is about 1022.7961673765. The cubic root of 1046112 is about 101.5140281678.

It can be divided in two parts, 104 and 6112, that added together give a triangular number (6216 = T111).

The spelling of 1046112 in words is "one million, forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 641 816 1282 1632 1923 2564 3846 5128 7692 10256 10897 15384 20512 21794 30768 32691 43588 61536 65382 87176 130764 174352 261528 348704 523056 1046112