Search a number
-
+
1120560 = 243572329
BaseRepresentation
bin100010001100100110000
32002221010020
410101210300
5241324220
640003440
712344640
oct4214460
92087106
101120560
116a5991
12460580
1330306c
14212520
15172040
hex111930

1120560 has 160 divisors (see below), whose sum is σ = 4285440. Its totient is φ = 236544.

The previous prime is 1120549. The next prime is 1120573. The reversal of 1120560 is 650211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38626 + ... + 38654.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

21120560 is an apocalyptic number.

1120560 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 1120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720).

1120560 is an abundant number, since it is smaller than the sum of its proper divisors (3164880).

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

1120560 is a wasteful number, since it uses less digits than its factorization.

1120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1120560 is about 1058.5650664933. The cubic root of 1120560 is about 103.8671874668.

Adding to 1120560 its reverse (650211), we get a palindrome (1770771).

The spelling of 1120560 in words is "one million, one hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 29 30 35 40 42 46 48 56 58 60 69 70 80 84 87 92 105 112 115 116 120 138 140 145 161 168 174 184 203 210 230 232 240 276 280 290 322 336 345 348 368 406 420 435 460 464 483 552 560 580 609 644 667 690 696 805 812 840 870 920 966 1015 1104 1160 1218 1288 1334 1380 1392 1610 1624 1680 1740 1840 1932 2001 2030 2320 2415 2436 2576 2668 2760 3045 3220 3248 3335 3480 3864 4002 4060 4669 4830 4872 5336 5520 6090 6440 6670 6960 7728 8004 8120 9338 9660 9744 10005 10672 12180 12880 13340 14007 16008 16240 18676 19320 20010 23345 24360 26680 28014 32016 37352 38640 40020 46690 48720 53360 56028 70035 74704 80040 93380 112056 140070 160080 186760 224112 280140 373520 560280 1120560