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1213056 = 273613
BaseRepresentation
bin100101000001010000000
32021122000000
410220022000
5302304211
642000000
713211415
oct4501200
92248000
101213056
11759429
124a6000
133361b0
1423810c
1518e656
hex128280

1213056 has 112 divisors (see below), whose sum is σ = 3902010. Its totient is φ = 373248.

The previous prime is 1213049. The next prime is 1213057. The reversal of 1213056 is 6503121.

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 46656 = 1080^2 + 216^2 .

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1213057) 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 13 ways as a sum of consecutive naturals, for example, 93306 + ... + 93318.

21213056 is an apocalyptic number.

1213056 is a gapful number since it is divisible by the number (16) 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 1213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951005).

1213056 is an abundant number, since it is smaller than the sum of its proper divisors (2688954).

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

1213056 is an frugal number, since it uses more digits than its factorization.

1213056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1213056 is about 1101.3882149360. The cubic root of 1213056 is about 106.6498584627.

Adding to 1213056 its reverse (6503121), we get a palindrome (7716177).

The spelling of 1213056 in words is "one million, two hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 243 288 312 324 351 384 416 432 468 486 576 624 648 702 729 832 864 936 972 1053 1152 1248 1296 1404 1458 1664 1728 1872 1944 2106 2496 2592 2808 2916 3159 3456 3744 3888 4212 4992 5184 5616 5832 6318 7488 7776 8424 9477 10368 11232 11664 12636 14976 15552 16848 18954 22464 23328 25272 31104 33696 37908 44928 46656 50544 67392 75816 93312 101088 134784 151632 202176 303264 404352 606528 1213056