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1981962 = 233172127
BaseRepresentation
bin111100011111000001010
310201200202000
413203320022
51001410322
6110251430
722563213
oct7437012
93650660
101981962
111134094
127b6b76
13545178
1439840a
152923ac
hex1e3e0a

1981962 has 48 divisors (see below), whose sum is σ = 4715520. Its totient is φ = 616896.

The previous prime is 1981949. The next prime is 1981963. The reversal of 1981962 is 2691891.

It is not an unprimeable number, because it can be changed into a prime (1981963) 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 23 ways as a sum of consecutive naturals, for example, 15543 + ... + 15669.

It is an arithmetic number, because the mean of its divisors is an integer number (98240).

21981962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1981962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357760).

1981962 is an abundant number, since it is smaller than the sum of its proper divisors (2733558).

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

1981962 is a wasteful number, since it uses less digits than its factorization.

1981962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1981962 is about 1407.8217216679. The cubic root of 1981962 is about 125.6121862627.

It can be divided in two parts, 19819 and 62, that added together give a square (19881 = 1412).

The spelling of 1981962 in words is "one million, nine hundred eighty-one thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 127 153 254 289 306 381 459 578 762 867 918 1143 1734 2159 2286 2601 3429 4318 5202 6477 6858 7803 12954 15606 19431 36703 38862 58293 73406 110109 116586 220218 330327 660654 990981 1981962