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20083500 = 2232534463
BaseRepresentation
bin100110010011…
…1001100101100
31101210100101100
41030213030230
520120133000
61554243100
7332464323
oct114471454
941710340
1020083500
1110378038
126886490
134212438
14294b0ba
151b6aa00
hex132732c

20083500 has 72 divisors (see below), whose sum is σ = 63370944. Its totient is φ = 5354400.

The previous prime is 20083499. The next prime is 20083501. The reversal of 20083500 is 538002.

It is an interprime number because it is at equal distance from previous prime (20083499) and next prime (20083501).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20083501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269 + ... + 6731.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 220083500 is an apocalyptic number.

20083500 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 20083500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685472).

20083500 is an abundant number, since it is smaller than the sum of its proper divisors (43287444).

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

20083500 is a wasteful number, since it uses less digits than its factorization.

20083500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20083500 is about 4481.4618150778. The cubic root of 20083500 is about 271.8189936160.

The spelling of 20083500 in words is "twenty million, eighty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4463 4500 8926 13389 17852 22315 26778 40167 44630 53556 66945 80334 89260 111575 133890 160668 200835 223150 267780 334725 401670 446300 557875 669450 803340 1004175 1115750 1338900 1673625 2008350 2231500 3347250 4016700 5020875 6694500 10041750 20083500