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2083800 = 2335223151
BaseRepresentation
bin111111100101111011000
310220212102210
413330233120
51013140200
6112355120
723466135
oct7745730
93825383
102083800
1111a3654
12845aa0
1357c624
143c358c
152b2650
hex1fcbd8

2083800 has 96 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 528000.

The previous prime is 2083799. The next prime is 2083813. The reversal of 2083800 is 83802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13725 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

22083800 is an apocalyptic number.

2083800 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 2083800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2083800 is an abundant number, since it is smaller than the sum of its proper divisors (4701480).

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

2083800 is a wasteful number, since it uses less digits than its factorization.

2083800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2083800 is about 1443.5373219976. The cubic root of 2083800 is about 127.7277743155.

The spelling of 2083800 in words is "two million, eighty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 151 184 200 230 276 300 302 345 453 460 552 575 600 604 690 755 906 920 1150 1208 1380 1510 1725 1812 2265 2300 2760 3020 3450 3473 3624 3775 4530 4600 6040 6900 6946 7550 9060 10419 11325 13800 13892 15100 17365 18120 20838 22650 27784 30200 34730 41676 45300 52095 69460 83352 86825 90600 104190 138920 173650 208380 260475 347300 416760 520950 694600 1041900 2083800