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1981644 = 223731761
BaseRepresentation
bin111100011110011001100
310201200022020
413203303030
51001403034
6110250140
722562250
oct7436314
93650266
101981644
111133925
127b6950
13544c92
14398260
15292249
hex1e3ccc

1981644 has 48 divisors (see below), whose sum is σ = 5462016. Its totient is φ = 547200.

The previous prime is 1981631. The next prime is 1981649. The reversal of 1981644 is 4461891.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981649) 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, 2224 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (113792).

21981644 is an apocalyptic number.

1981644 is a gapful number since it is divisible by the number (14) 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 1981644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731008).

1981644 is an abundant number, since it is smaller than the sum of its proper divisors (3480372).

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

1981644 is a wasteful number, since it uses less digits than its factorization.

1981644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1981644 is about 1407.7087767006. The cubic root of 1981644 is about 125.6054678675.

The spelling of 1981644 in words is "one million, nine hundred eighty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 761 868 1302 1522 2283 2604 3044 4566 5327 9132 10654 15981 21308 23591 31962 47182 63924 70773 94364 141546 165137 283092 330274 495411 660548 990822 1981644