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2115800 = 235271149
BaseRepresentation
bin1000000100100011011000
310222111022222
420010203120
51020201200
6113203212
723661341
oct10044330
93874288
102115800
1112156a5
12860508
1359106b
143d10c8
152bbd85
hex2048d8

2115800 has 48 divisors (see below), whose sum is σ = 5022000. Its totient is φ = 828800.

The previous prime is 2115791. The next prime is 2115823. The reversal of 2115800 is 85112.

It is a congruent 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, 14126 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (104625).

22115800 is an apocalyptic number.

2115800 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 2115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511000).

2115800 is an abundant number, since it is smaller than the sum of its proper divisors (2906200).

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

2115800 is a wasteful number, since it uses less digits than its factorization.

2115800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 2115800 is about 1454.5789768864. The cubic root of 2115800 is about 128.3782755209.

The spelling of 2115800 in words is "two million, one hundred fifteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 149 200 284 298 355 568 596 710 745 1192 1420 1490 1775 2840 2980 3550 3725 5960 7100 7450 10579 14200 14900 21158 29800 42316 52895 84632 105790 211580 264475 423160 528950 1057900 2115800