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2106275500 = 22537733821
BaseRepresentation
bin111110110001011…
…0011011010101100
312102210022212210201
41331202303122230
513303201304000
6545000443244
7103124021620
oct17542633254
95383285721
102106275500
11990a34a5a
124a9479524
132774a7384
1415da41180
15c4da696a
hex7d8b36ac

2106275500 has 96 divisors (see below), whose sum is σ = 5270848128. Its totient is φ = 720288000.

The previous prime is 2106275489. The next prime is 2106275599. The reversal of 2106275500 is 55726012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2565090 + ... + 2565910.

It is an arithmetic number, because the mean of its divisors is an integer number (54904668).

Almost surely, 22106275500 is an apocalyptic number.

2106275500 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 2106275500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635424064).

2106275500 is an abundant number, since it is smaller than the sum of its proper divisors (3164572628).

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

2106275500 is a wasteful number, since it uses less digits than its factorization.

2106275500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2106275500 is about 45894.1771905761. The cubic root of 2106275500 is about 1281.8534955892.

The spelling of 2106275500 in words is "two billion, one hundred six million, two hundred seventy-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 733 821 875 1466 1642 1750 2932 3284 3500 3665 4105 5131 5747 7330 8210 10262 11494 14660 16420 18325 20524 20525 22988 25655 28735 36650 41050 51310 57470 73300 82100 91625 102620 102625 114940 128275 143675 183250 205250 256550 287350 366500 410500 513100 574700 601793 641375 718375 1203586 1282750 1436750 2407172 2565500 2873500 3008965 4212551 6017930 8425102 12035860 15044825 16850204 21062755 30089650 42125510 60179300 75224125 84251020 105313775 150448250 210627550 300896500 421255100 526568875 1053137750 2106275500