Search a number
-
+
1064672 = 257397
BaseRepresentation
bin100000011111011100000
32000002110022
410003323200
5233032142
634453012
712023000
oct4037340
92002408
101064672
116679a4
12434168
132b37ab
141da000
151606d2
hex103ee0

1064672 has 48 divisors (see below), whose sum is σ = 2469600. Its totient is φ = 451584.

The previous prime is 1064671. The next prime is 1064681. The reversal of 1064672 is 2764601.

It is a super-2 number, since 2×10646722 = 2267052935168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064671) 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, 10928 + ... + 11024.

It is an arithmetic number, because the mean of its divisors is an integer number (51450).

21064672 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 1064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234800).

1064672 is an abundant number, since it is smaller than the sum of its proper divisors (1404928).

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

1064672 is an frugal number, since it uses more digits than its factorization.

1064672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1064672 is about 1031.8294432705. The cubic root of 1064672 is about 102.1108624168.

The spelling of 1064672 in words is "one million, sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 97 98 112 194 196 224 343 388 392 679 686 776 784 1358 1372 1552 1568 2716 2744 3104 4753 5432 5488 9506 10864 10976 19012 21728 33271 38024 66542 76048 133084 152096 266168 532336 1064672