Search a number
-
+
1213872 = 24311319
BaseRepresentation
bin100101000010110110000
32021200010020
410220112300
5302320442
642003440
713213662
oct4502660
92250106
101213872
1175a000
124a6580
1333668a
14238532
1518e9ec
hex1285b0

1213872 has 80 divisors (see below), whose sum is σ = 3630720. Its totient is φ = 348480.

The previous prime is 1213841. The next prime is 1213873. The reversal of 1213872 is 2783121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1213873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63879 + ... + 63897.

It is an arithmetic number, because the mean of its divisors is an integer number (45384).

21213872 is an apocalyptic number.

1213872 is a gapful number since it is divisible by the number (12) 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 1213872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815360).

1213872 is an abundant number, since it is smaller than the sum of its proper divisors (2416848).

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

1213872 is a wasteful number, since it uses less digits than its factorization.

1213872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 35 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 1213872 is about 1101.7585942483. The cubic root of 1213872 is about 106.6737668885.

Adding to 1213872 its reverse (2783121), we get a palindrome (3996993).

It can be divided in two parts, 121 and 3872, that added together give a palindrome (3993).

The spelling of 1213872 in words is "one million, two hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1331 1452 1672 1936 2299 2508 2662 2904 3344 3993 4598 5016 5324 5808 6897 7986 9196 10032 10648 13794 15972 18392 21296 25289 27588 31944 36784 50578 55176 63888 75867 101156 110352 151734 202312 303468 404624 606936 1213872