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1983216 = 24379523
BaseRepresentation
bin111100100001011110000
310201202110110
413210023300
51001430331
6110301320
722566654
oct7441360
93652413
101983216
111135024
127b7840
13545901
14398a64
15292946
hex1e42f0

1983216 has 40 divisors (see below), whose sum is σ = 5198080. Its totient is φ = 651456.

The previous prime is 1983197. The next prime is 1983227. The reversal of 1983216 is 6123891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3531 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (129952).

21983216 is an apocalyptic number.

1983216 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 1983216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599040).

1983216 is an abundant number, since it is smaller than the sum of its proper divisors (3214864).

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

1983216 is a wasteful number, since it uses less digits than its factorization.

1983216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1983216 is about 1408.2670201350. The cubic root of 1983216 is about 125.6386725546.

The spelling of 1983216 in words is "one million, nine hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 523 632 948 1046 1264 1569 1896 2092 3138 3792 4184 6276 8368 12552 25104 41317 82634 123951 165268 247902 330536 495804 661072 991608 1983216