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2123800 = 235273741
BaseRepresentation
bin1000000110100000011000
310222220022021
420012200120
51020430200
6113304224
724023560
oct10064030
93886267
102123800
111220708
12865074
135948b3
143d3da0
152be41a
hex206818

2123800 has 96 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 691200.

The previous prime is 2123791. The next prime is 2123831. The reversal of 2123800 is 83212.

It is a happy number.

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, 51780 + ... + 51820.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

22123800 is an apocalyptic number.

2123800 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 2123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2123800 is an abundant number, since it is smaller than the sum of its proper divisors (3813320).

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

2123800 is a wasteful number, since it uses less digits than its factorization.

2123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2123800 is about 1457.3263189828. The cubic root of 2123800 is about 128.5398746788.

The spelling of 2123800 in words is "two million, one hundred twenty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 41 50 56 70 74 82 100 140 148 164 175 185 200 205 259 280 287 296 328 350 370 410 518 574 700 740 820 925 1025 1036 1148 1295 1400 1435 1480 1517 1640 1850 2050 2072 2296 2590 2870 3034 3700 4100 5180 5740 6068 6475 7175 7400 7585 8200 10360 10619 11480 12136 12950 14350 15170 21238 25900 28700 30340 37925 42476 51800 53095 57400 60680 75850 84952 106190 151700 212380 265475 303400 424760 530950 1061900 2123800