Search a number
-
+
1246160 = 24537421
BaseRepresentation
bin100110000001111010000
32100022102002
410300033100
5304334120
642413132
713410056
oct4601720
92308362
101246160
11781293
125011a8
13348296
142461d6
15199375
hex1303d0

1246160 has 40 divisors (see below), whose sum is σ = 2982696. Its totient is φ = 483840.

The previous prime is 1246103. The next prime is 1246181. The reversal of 1246160 is 616421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44944 + 1201216 = 212^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2750 + ... + 3170.

21246160 is an apocalyptic number.

1246160 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 1246160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491348).

1246160 is an abundant number, since it is smaller than the sum of its proper divisors (1736536).

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

1246160 is a wasteful number, since it uses less digits than its factorization.

1246160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1246160 is about 1116.3153676269. The cubic root of 1246160 is about 107.6113142979.

It can be divided in two parts, 12461 and 60, that added together give a palindrome (12521).

The spelling of 1246160 in words is "one million, two hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 421 592 740 842 1480 1684 2105 2960 3368 4210 6736 8420 15577 16840 31154 33680 62308 77885 124616 155770 249232 311540 623080 1246160