Search a number
-
+
1056160 = 25572341
BaseRepresentation
bin100000001110110100000
31222122210001
410001312200
5232244120
634345344
711656120
oct4016640
91878701
101056160
11661566
1242b254
132ac961
141d6c80
1515ce0a
hex101da0

1056160 has 96 divisors (see below), whose sum is σ = 3048192. Its totient is φ = 337920.

The previous prime is 1056149. The next prime is 1056161. The reversal of 1056160 is 616501.

It is a super-2 number, since 2×10561602 = 2230947891200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25740 + ... + 25780.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

21056160 is an apocalyptic number.

1056160 is a gapful number since it is divisible by the number (10) 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 1056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

1056160 is an abundant number, since it is smaller than the sum of its proper divisors (1992032).

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

1056160 is a wasteful number, since it uses less digits than its factorization.

1056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1056160 is about 1027.6964532390. The cubic root of 1056160 is about 101.8380102076.

The spelling of 1056160 in words is "one million, fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 41 46 56 70 80 82 92 112 115 140 160 161 164 184 205 224 230 280 287 322 328 368 410 460 560 574 644 656 736 805 820 920 943 1120 1148 1288 1312 1435 1610 1640 1840 1886 2296 2576 2870 3220 3280 3680 3772 4592 4715 5152 5740 6440 6560 6601 7544 9184 9430 11480 12880 13202 15088 18860 22960 25760 26404 30176 33005 37720 45920 52808 66010 75440 105616 132020 150880 211232 264040 528080 1056160