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2089800 = 23355243
BaseRepresentation
bin111111110001101001000
310221011200000
413332031020
51013333200
6112443000
723522466
oct7761510
93834600
102089800
1111a8109
12849460
1358228b
143c5836
152b4300
hex1fe348

2089800 has 144 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 544320.

The previous prime is 2089781. The next prime is 2089807. The reversal of 2089800 is 89802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2089807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48579 + ... + 48621.

22089800 is an apocalyptic number.

2089800 is a gapful number since it is divisible by the number (20) 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 2089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2089800 is an abundant number, since it is smaller than the sum of its proper divisors (5357640).

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

2089800 is a wasteful number, since it uses less digits than its factorization.

2089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2089800 is about 1445.6140563788. The cubic root of 2089800 is about 127.8502480450.

The spelling of 2089800 in words is "two million, eighty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 43 45 50 54 60 72 75 81 86 90 100 108 120 129 135 150 162 172 180 200 215 216 225 243 258 270 300 324 344 360 387 405 430 450 486 516 540 600 645 648 675 774 810 860 900 972 1032 1075 1080 1161 1215 1290 1350 1548 1620 1720 1800 1935 1944 2025 2150 2322 2430 2580 2700 3096 3225 3240 3483 3870 4050 4300 4644 4860 5160 5400 5805 6075 6450 6966 7740 8100 8600 9288 9675 9720 10449 11610 12150 12900 13932 15480 16200 17415 19350 20898 23220 24300 25800 27864 29025 34830 38700 41796 46440 48600 52245 58050 69660 77400 83592 87075 104490 116100 139320 174150 208980 232200 261225 348300 417960 522450 696600 1044900 2089800