Search a number
-
+
1213290 = 2325131761
BaseRepresentation
bin100101000001101101010
32021122022200
410220031222
5302311130
642001030
713212201
oct4501552
92248280
101213290
11759621
124a6176
13336330
14238238
1518e760
hex12836a

1213290 has 96 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 276480.

The previous prime is 1213271. The next prime is 1213301. The reversal of 1213290 is 923121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 154449 + 1058841 = 393^2 + 1029^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19860 + ... + 19920.

21213290 is an apocalyptic number.

1213290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1213290 is an abundant number, since it is smaller than the sum of its proper divisors (2442726).

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

1213290 is a wasteful number, since it uses less digits than its factorization.

1213290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1213290 is about 1101.4944393868. The cubic root of 1213290 is about 106.6567156516.

The spelling of 1213290 in words is "one million, two hundred thirteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 61 65 78 85 90 102 117 122 130 153 170 183 195 221 234 255 305 306 366 390 442 510 549 585 610 663 765 793 915 1037 1098 1105 1170 1326 1530 1586 1830 1989 2074 2210 2379 2745 3111 3315 3965 3978 4758 5185 5490 6222 6630 7137 7930 9333 9945 10370 11895 13481 14274 15555 18666 19890 23790 26962 31110 35685 40443 46665 67405 71370 80886 93330 121329 134810 202215 242658 404430 606645 1213290