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1981056 = 27371167
BaseRepresentation
bin111100011101010000000
310201122111110
413203222000
51001343211
6110243320
722560450
oct7435200
93648443
101981056
111133440
127b6540
1354492c
14397d60
15291ea6
hex1e3a80

1981056 has 128 divisors (see below), whose sum is σ = 6658560. Its totient is φ = 506880.

The previous prime is 1981037. The next prime is 1981081. The reversal of 1981056 is 6501891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29535 + ... + 29601.

It is an arithmetic number, because the mean of its divisors is an integer number (52020).

21981056 is an apocalyptic number.

1981056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 1407×1408.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329280).

1981056 is an abundant number, since it is smaller than the sum of its proper divisors (4677504).

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

1981056 is a wasteful number, since it uses less digits than its factorization.

1981056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1981056 is about 1407.4999111901. The cubic root of 1981056 is about 125.5930432811.

The spelling of 1981056 in words is "one million, nine hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 67 77 84 88 96 112 128 132 134 154 168 176 192 201 224 231 264 268 308 336 352 384 402 448 462 469 528 536 616 672 704 737 804 896 924 938 1056 1072 1232 1344 1407 1408 1474 1608 1848 1876 2112 2144 2211 2464 2688 2814 2948 3216 3696 3752 4224 4288 4422 4928 5159 5628 5896 6432 7392 7504 8576 8844 9856 10318 11256 11792 12864 14784 15008 15477 17688 20636 22512 23584 25728 29568 30016 30954 35376 41272 45024 47168 60032 61908 70752 82544 90048 94336 123816 141504 165088 180096 247632 283008 330176 495264 660352 990528 1981056