Search a number
-
+
1068360 = 233529307
BaseRepresentation
bin100000100110101001000
32000021111220
410010311020
5233141420
634522040
712036516
oct4046510
92007456
101068360
1166a747
12436320
132b5387
141db4b6
15161840
hex104d48

1068360 has 64 divisors (see below), whose sum is σ = 3326400. Its totient is φ = 274176.

The previous prime is 1068343. The next prime is 1068367. The reversal of 1068360 is 638601.

It is a super-2 number, since 2×10683602 = 2282786179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1068360.

It is not an unprimeable number, because it can be changed into a prime (1068367) 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, 3327 + ... + 3633.

It is an arithmetic number, because the mean of its divisors is an integer number (51975).

21068360 is an apocalyptic number.

1068360 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 1068360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663200).

1068360 is an abundant number, since it is smaller than the sum of its proper divisors (2258040).

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

1068360 is a wasteful number, since it uses less digits than its factorization.

1068360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1068360 is about 1033.6150153708. The cubic root of 1068360 is about 102.2286297881.

The spelling of 1068360 in words is "one million, sixty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 307 348 435 580 614 696 870 921 1160 1228 1535 1740 1842 2456 3070 3480 3684 4605 6140 7368 8903 9210 12280 17806 18420 26709 35612 36840 44515 53418 71224 89030 106836 133545 178060 213672 267090 356120 534180 1068360