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1060864 = 212737
BaseRepresentation
bin100000011000000000000
31222220020021
410003000000
5232421424
634423224
712005620
oct4030000
91886207
101060864
11665052
12431b14
132b1b3c
141d8880
1515e4e4
hex103000

1060864 has 52 divisors (see below), whose sum is σ = 2490064. Its totient is φ = 442368.

The previous prime is 1060861. The next prime is 1060867. The reversal of 1060864 is 4680601.

It is an interprime number because it is at equal distance from previous prime (1060861) and next prime (1060867).

It is a super-2 number, since 2×10608642 = 2250864852992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1060861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28654 + ... + 28690.

21060864 is an apocalyptic number.

1060864 is a gapful number since it is divisible by the number (14) 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 1060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245032).

1060864 is an abundant number, since it is smaller than the sum of its proper divisors (1429200).

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

1060864 is an frugal number, since it uses more digits than its factorization.

1060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1060864 is about 1029.9825241236. The cubic root of 1060864 is about 101.9889774069.

The spelling of 1060864 in words is "one million, sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1024 1036 1184 1792 2048 2072 2368 3584 4096 4144 4736 7168 8288 9472 14336 16576 18944 28672 33152 37888 66304 75776 132608 151552 265216 530432 1060864