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2113800 = 2335213271
BaseRepresentation
bin1000000100000100001000
310222101120220
420010010020
51020120200
6113150040
723652453
oct10040410
93871526
102113800
111214147
1285b320
13590190
143d049a
152bb4a0
hex204108

2113800 has 96 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 518400.

The previous prime is 2113789. The next prime is 2113801. The reversal of 2113800 is 83112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2113800.

It is not an unprimeable number, because it can be changed into a prime (2113801) 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, 7665 + ... + 7935.

It is an arithmetic number, because the mean of its divisors is an integer number (73780).

22113800 is an apocalyptic number.

2113800 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 2113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2113800 is an abundant number, since it is smaller than the sum of its proper divisors (4969080).

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

2113800 is a wasteful number, since it uses less digits than its factorization.

2113800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2113800 is about 1453.8913301894. The cubic root of 2113800 is about 128.3378121036.

Adding to 2113800 its reverse (83112), we get a palindrome (2196912).

The spelling of 2113800 in words is "two million, one hundred thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 271 300 312 325 390 520 542 600 650 780 813 975 1084 1300 1355 1560 1626 1950 2168 2600 2710 3252 3523 3900 4065 5420 6504 6775 7046 7800 8130 10569 10840 13550 14092 16260 17615 20325 21138 27100 28184 32520 35230 40650 42276 52845 54200 70460 81300 84552 88075 105690 140920 162600 176150 211380 264225 352300 422760 528450 704600 1056900 2113800