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1985728 = 26192371
BaseRepresentation
bin111100100110011000000
310201212220111
413210303000
51002020403
6110321104
722610203
oct7446300
93655814
101985728
1111369a8
127b9194
13546ab4
1439993a
1529356d
hex1e4cc0

1985728 has 56 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 887040.

The previous prime is 1985713. The next prime is 1985729. The reversal of 1985728 is 8275891.

It is not an unprimeable number, because it can be changed into a prime (1985729) 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, 27933 + ... + 28003.

21985728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1985728 is an abundant number, since it is smaller than the sum of its proper divisors (2403392).

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

1985728 is a wasteful number, since it uses less digits than its factorization.

1985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 40320, while the sum is 40.

The square root of 1985728 is about 1409.1586142092. The cubic root of 1985728 is about 125.6916960592.

The spelling of 1985728 in words is "one million, nine hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 71 76 92 142 152 184 284 304 368 437 568 608 736 874 1136 1216 1349 1472 1633 1748 2272 2698 3266 3496 4544 5396 6532 6992 10792 13064 13984 21584 26128 27968 31027 43168 52256 62054 86336 104512 124108 248216 496432 992864 1985728