Search a number
-
+
1312020 = 2232537197
BaseRepresentation
bin101000000010100010100
32110122202100
411000110110
5313441040
644042100
714103063
oct5002424
92418670
101312020
11816816
12533330
1336c258
142621da
151adb30
hex140514

1312020 has 72 divisors (see below), whose sum is σ = 4108104. Its totient is φ = 338688.

The previous prime is 1312019. The next prime is 1312027. The reversal of 1312020 is 202131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 544644 = 876^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1311993 and 1312011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6562 + ... + 6758.

It is an arithmetic number, because the mean of its divisors is an integer number (57057).

21312020 is an apocalyptic number.

1312020 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 1312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054052).

1312020 is an abundant number, since it is smaller than the sum of its proper divisors (2796084).

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

1312020 is a wasteful number, since it uses less digits than its factorization.

1312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1312020 is about 1145.4344154075. The cubic root of 1312020 is about 109.4746297638.

Adding to 1312020 its reverse (202131), we get a palindrome (1514151).

The spelling of 1312020 in words is "one million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 197 222 333 370 394 444 555 591 666 740 788 985 1110 1182 1332 1665 1773 1970 2220 2364 2955 3330 3546 3940 5910 6660 7092 7289 8865 11820 14578 17730 21867 29156 35460 36445 43734 65601 72890 87468 109335 131202 145780 218670 262404 328005 437340 656010 1312020