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2106911800 = 23527330713
BaseRepresentation
bin111110110010100…
…1110110000111000
312102211112012122101
41331211032300320
513303332134200
6545022233144
7103132312000
oct17545166070
95384465571
102106911800
1199132a024
124a97257b4
1327766ab96
1415db69000
15c4e8026a
hex7d94ec38

2106911800 has 96 divisors (see below), whose sum is σ = 5712804000. Its totient is φ = 722346240.

The previous prime is 2106911797. The next prime is 2106911827. The reversal of 2106911800 is 81196012.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53244 + ... + 83956.

It is an arithmetic number, because the mean of its divisors is an integer number (59508375).

Almost surely, 22106911800 is an apocalyptic number.

2106911800 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 2106911800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856402000).

2106911800 is an abundant number, since it is smaller than the sum of its proper divisors (3605892200).

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

2106911800 is a wasteful number, since it uses less digits than its factorization.

2106911800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30750 (or 30727 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 2106911800 is about 45901.1089190664. The cubic root of 2106911800 is about 1281.9825640576.

The spelling of 2106911800 in words is "two billion, one hundred six million, nine hundred eleven thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 343 350 392 490 686 700 980 1225 1372 1400 1715 1960 2450 2744 3430 4900 6860 8575 9800 13720 17150 30713 34300 61426 68600 122852 153565 214991 245704 307130 429982 614260 767825 859964 1074955 1228520 1504937 1535650 1719928 2149910 3009874 3071300 4299820 5374775 6019748 6142600 7524685 8599640 10534559 10749550 12039496 15049370 21069118 21499100 30098740 37623425 42138236 42998200 52672795 60197480 75246850 84276472 105345590 150493700 210691180 263363975 300987400 421382360 526727950 1053455900 2106911800