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1980816 = 243291423
BaseRepresentation
bin111100011100110010000
310201122011120
413203212100
51001341231
6110242240
722556655
oct7434620
93648146
101980816
111133242
127b6380
135447a6
14397c2c
15291d96
hex1e3990

1980816 has 40 divisors (see below), whose sum is σ = 5297280. Its totient is φ = 637056.

The previous prime is 1980809. The next prime is 1980817. The reversal of 1980816 is 6180891.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1980817) 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, 681 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (132432).

21980816 is an apocalyptic number.

1980816 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 1980816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648640).

1980816 is an abundant number, since it is smaller than the sum of its proper divisors (3316464).

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

1980816 is a wasteful number, since it uses less digits than its factorization.

1980816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1980816 is about 1407.4146510535. The cubic root of 1980816 is about 125.5879713148.

The spelling of 1980816 in words is "one million, nine hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1423 2846 4269 5692 8538 11384 17076 22768 34152 41267 68304 82534 123801 165068 247602 330136 495204 660272 990408 1980816