Search a number
-
+
1114260 = 223572379
BaseRepresentation
bin100010000000010010100
32002121110220
410100002110
5241124020
635514340
712320400
oct4200224
92077426
101114260
116a1184
124589b0
13300234
14210100
15170240
hex110094

1114260 has 72 divisors (see below), whose sum is σ = 3638880. Its totient is φ = 254016.

The previous prime is 1114249. The next prime is 1114261. The reversal of 1114260 is 624111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2751 + ... + 3129.

It is an arithmetic number, because the mean of its divisors is an integer number (50540).

21114260 is an apocalyptic number.

1114260 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 1114260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819440).

1114260 is an abundant number, since it is smaller than the sum of its proper divisors (2524620).

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

1114260 is a wasteful number, since it uses less digits than its factorization.

1114260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1114260 is about 1055.5851457841. The cubic root of 1114260 is about 103.6721678802.

Adding to 1114260 its reverse (624111), we get a palindrome (1738371).

It can be divided in two parts, 111 and 4260, that added together give a triangular number (4371 = T93).

The spelling of 1114260 in words is "one million, one hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 379 420 490 588 735 758 980 1137 1470 1516 1895 2274 2653 2940 3790 4548 5306 5685 7580 7959 10612 11370 13265 15918 18571 22740 26530 31836 37142 39795 53060 55713 74284 79590 92855 111426 159180 185710 222852 278565 371420 557130 1114260