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1989456 = 243731191
BaseRepresentation
bin111100101101101010000
310202002000120
413211231100
51002130311
6110350240
722624110
oct7455520
93662016
101989456
111139787
127bb380
135486c1
1439b040
15294706
hex1e5b50

1989456 has 80 divisors (see below), whose sum is σ = 6094848. Its totient is φ = 547200.

The previous prime is 1989419. The next prime is 1989479. The reversal of 1989456 is 6549891.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (77760) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10321 + ... + 10511.

21989456 is an apocalyptic number.

1989456 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 1989456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047424).

1989456 is an abundant number, since it is smaller than the sum of its proper divisors (4105392).

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

1989456 is a wasteful number, since it uses less digits than its factorization.

1989456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 1989456 is about 1410.4807690997. The cubic root of 1989456 is about 125.7703046286.

The spelling of 1989456 in words is "one million, nine hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 191 217 248 336 372 382 434 496 573 651 744 764 868 1146 1302 1337 1488 1528 1736 2292 2604 2674 3056 3472 4011 4584 5208 5348 5921 8022 9168 10416 10696 11842 16044 17763 21392 23684 32088 35526 41447 47368 64176 71052 82894 94736 124341 142104 165788 248682 284208 331576 497364 663152 994728 1989456