Search a number
-
+
1273216 = 277329
BaseRepresentation
bin100110110110110000000
32101200112011
410312312000
5311220331
643142304
713552000
oct4666600
92350464
101273216
1179a64a
12514994
133576a9
14252000
151a23b1
hex136d80

1273216 has 64 divisors (see below), whose sum is σ = 3060000. Its totient is φ = 526848.

The previous prime is 1273213. The next prime is 1273231. The reversal of 1273216 is 6123721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1273213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43890 + ... + 43918.

21273216 is an apocalyptic number.

1273216 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 1273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530000).

1273216 is an abundant number, since it is smaller than the sum of its proper divisors (1786784).

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

1273216 is an frugal number, since it uses more digits than its factorization.

1273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 38 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 1273216 is about 1128.3687340582. The cubic root of 1273216 is about 108.3845459376.

Adding to 1273216 its reverse (6123721), we get a palindrome (7396937).

The spelling of 1273216 in words is "one million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 343 392 406 448 464 686 784 812 896 928 1372 1421 1568 1624 1856 2744 2842 3136 3248 3712 5488 5684 6272 6496 9947 10976 11368 12992 19894 21952 22736 25984 39788 43904 45472 79576 90944 159152 181888 318304 636608 1273216