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1988820 = 2233529127
BaseRepresentation
bin111100101100011010100
310202001011000
413211203110
51002120240
6110343300
722622211
oct7454324
93661130
101988820
111139259
127bab30
13548322
1439ab08
15294430
hex1e58d4

1988820 has 96 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 508032.

The previous prime is 1988807. The next prime is 1988837. The reversal of 1988820 is 288891.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 15597 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

21988820 is an apocalyptic number.

1988820 is a gapful number since it is divisible by the number (10) 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 1988820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

1988820 is an abundant number, since it is smaller than the sum of its proper divisors (4462380).

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

1988820 is a wasteful number, since it uses less digits than its factorization.

1988820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1988820 is about 1410.2552960369. The cubic root of 1988820 is about 125.7569008909.

The spelling of 1988820 in words is "one million, nine hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 127 135 145 174 180 254 261 270 290 348 381 435 508 522 540 580 635 762 783 870 1044 1143 1270 1305 1524 1566 1740 1905 2286 2540 2610 3132 3429 3683 3810 3915 4572 5220 5715 6858 7366 7620 7830 11049 11430 13716 14732 15660 17145 18415 22098 22860 33147 34290 36830 44196 55245 66294 68580 73660 99441 110490 132588 165735 198882 220980 331470 397764 497205 662940 994410 1988820