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1052672 = 212257
BaseRepresentation
bin100000001000000000000
31222110222212
410001000000
5232141142
634321252
711643005
oct4010000
91873885
101052672
11659985
12429228
132ab1aa
141d58ac
1515bd82
hex101000

1052672 has 26 divisors (see below), whose sum is σ = 2113278. Its totient is φ = 524288.

The previous prime is 1052663. The next prime is 1052693. The reversal of 1052672 is 2762501.

It can be written as a sum of positive squares in only one way, i.e., 1048576 + 4096 = 1024^2 + 64^2 .

It is a super-2 number, since 2×10526722 = 2216236679168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 1052672 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3968 + ... + 4224.

21052672 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 1052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056639).

1052672 is an abundant number, since it is smaller than the sum of its proper divisors (1060606).

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

1052672 is an frugal number, since it uses more digits than its factorization.

1052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 1052672 is about 1025.9980506804. The cubic root of 1052672 is about 101.7257788757.

The spelling of 1052672 in words is "one million, fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4096 4112 8224 16448 32896 65792 131584 263168 526336 1052672