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2103200 = 255211239
BaseRepresentation
bin1000000001011110100000
310221212001022
420001132200
51014300300
6113025012
723606531
oct10013640
93855038
102103200
111207190
12855168
135883c8
143ca688
152b8285
hex2017a0

2103200 has 72 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 761600.

The previous prime is 2103193. The next prime is 2103229. The reversal of 2103200 is 23012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8681 + ... + 8919.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

22103200 is an apocalyptic number.

2103200 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 2103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2103200 is an abundant number, since it is smaller than the sum of its proper divisors (3521440).

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

2103200 is a wasteful number, since it uses less digits than its factorization.

2103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2103200 is about 1450.2413592227. The cubic root of 2103200 is about 128.1229287787.

Adding to 2103200 its reverse (23012), we get a palindrome (2126212).

The spelling of 2103200 in words is "two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 239 275 352 400 440 478 550 800 880 956 1100 1195 1760 1912 2200 2390 2629 3824 4400 4780 5258 5975 7648 8800 9560 10516 11950 13145 19120 21032 23900 26290 38240 42064 47800 52580 65725 84128 95600 105160 131450 191200 210320 262900 420640 525800 1051600 2103200