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1213216 = 25311223
BaseRepresentation
bin100101000001100100000
32021122012221
410220030200
5302310331
642000424
713212034
oct4501440
92248187
101213216
11759564
124a6114
133362a4
142381c4
1518e711
hex128320

1213216 has 24 divisors (see below), whose sum is σ = 2467584. Its totient is φ = 586560.

The previous prime is 1213213. The next prime is 1213241. The reversal of 1213216 is 6123121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 1213216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

21213216 is an apocalyptic number.

1213216 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 1213216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233792).

1213216 is an abundant number, since it is smaller than the sum of its proper divisors (1254368).

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

1213216 is a wasteful number, since it uses less digits than its factorization.

1213216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 1213216 is about 1101.4608481467. The cubic root of 1213216 is about 106.6545472342.

Adding to 1213216 its reverse (6123121), we get a palindrome (7336337).

The spelling of 1213216 in words is "one million, two hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1223 2446 4892 9784 19568 37913 39136 75826 151652 303304 606608 1213216