Search a number
-
+
1989900 = 2233521167
BaseRepresentation
bin111100101110100001100
310202002122000
413211310030
51002134100
6110352300
722625313
oct7456414
93662560
101989900
11113a050
127bb690
13548973
1439b27a
15294900
hex1e5d0c

1989900 has 144 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 475200.

The previous prime is 1989899. The next prime is 1989919. The reversal of 1989900 is 99891.

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

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 47 ways as a sum of consecutive naturals, for example, 29667 + ... + 29733.

21989900 is an apocalyptic number.

1989900 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 1989900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

1989900 is an abundant number, since it is smaller than the sum of its proper divisors (5092980).

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

1989900 is a wasteful number, since it uses less digits than its factorization.

1989900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1989900 is about 1410.6381534610. The cubic root of 1989900 is about 125.7796602618.

The spelling of 1989900 in words is "one million, nine hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 67 75 90 99 100 108 110 132 134 135 150 165 180 198 201 220 225 268 270 275 297 300 330 335 396 402 450 495 540 550 594 603 660 670 675 737 804 825 900 990 1005 1100 1188 1206 1340 1350 1474 1485 1650 1675 1809 1980 2010 2211 2412 2475 2700 2948 2970 3015 3300 3350 3618 3685 4020 4422 4950 5025 5940 6030 6633 6700 7236 7370 7425 8844 9045 9900 10050 11055 12060 13266 14740 14850 15075 18090 18425 19899 20100 22110 26532 29700 30150 33165 36180 36850 39798 44220 45225 55275 60300 66330 73700 79596 90450 99495 110550 132660 165825 180900 198990 221100 331650 397980 497475 663300 994950 1989900