Search a number
-
+
1061856 = 25331229
BaseRepresentation
bin100000011001111100000
31222221121000
410003033200
5232434411
634432000
712011535
oct4031740
91887530
101061856
11665874
12432600
132b2423
141d8d8c
1515e956
hex1033e0

1061856 has 48 divisors (see below), whose sum is σ = 3099600. Its totient is φ = 353664.

The previous prime is 1061849. The next prime is 1061867. The reversal of 1061856 is 6581601.

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

It is a super-2 number, since 2×10618562 = 2255076329472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (64575).

21061856 is an apocalyptic number.

1061856 is a gapful number since it is divisible by the number (16) 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 1061856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549800).

1061856 is an abundant number, since it is smaller than the sum of its proper divisors (2037744).

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

1061856 is a wasteful number, since it uses less digits than its factorization.

1061856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1061856 is about 1030.4639731694. The cubic root of 1061856 is about 102.0207570213.

The spelling of 1061856 in words is "one million, sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1229 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 33183 39328 44244 58992 66366 88488 117984 132732 176976 265464 353952 530928 1061856