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1216248 = 2331117271
BaseRepresentation
bin100101000111011111000
32021210101020
410220323320
5302404443
642022440
713223625
oct4507370
92253336
101216248
11760870
124a7a20
13337797
1423934c
15190583
hex128ef8

1216248 has 64 divisors (see below), whose sum is σ = 3525120. Its totient is φ = 345600.

The previous prime is 1216213. The next prime is 1216249. The reversal of 1216248 is 8426121.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4353 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

21216248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560).

1216248 is an abundant number, since it is smaller than the sum of its proper divisors (2308872).

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

1216248 is a wasteful number, since it uses less digits than its factorization.

1216248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1216248 is about 1102.8363432532. The cubic root of 1216248 is about 106.7433216356.

The spelling of 1216248 in words is "one million, two hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 271 374 408 542 561 748 813 1084 1122 1496 1626 2168 2244 2981 3252 4488 4607 5962 6504 8943 9214 11924 13821 17886 18428 23848 27642 35772 36856 50677 55284 71544 101354 110568 152031 202708 304062 405416 608124 1216248