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2106050700 = 22352133071759
BaseRepresentation
bin111110110000111…
…1100100010001100
312102202220110102210
41331201330202030
513303122110300
6544551550420
7103122064335
oct17541744214
95382813383
102106050700
119908a1076
124a938b410
13277428c60
1415d9c328c
15c4d60050
hex7d87c88c

2106050700 has 144 divisors (see below), whose sum is σ = 6587356160. Its totient is φ = 516430080.

The previous prime is 2106050677. The next prime is 2106050701. The reversal of 2106050700 is 70506012.

It is not an unprimeable number, because it can be changed into a prime (2106050701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196421 + ... + 1198179.

Almost surely, 22106050700 is an apocalyptic number.

2106050700 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 2106050700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293678080).

2106050700 is an abundant number, since it is smaller than the sum of its proper divisors (4481305460).

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

2106050700 is a wasteful number, since it uses less digits than its factorization.

2106050700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2106050700 is about 45891.7280127912. The cubic root of 2106050700 is about 1281.8078904570.

Adding to 2106050700 its reverse (70506012), we get a palindrome (2176556712).

The spelling of 2106050700 in words is "two billion, one hundred six million, fifty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 307 325 390 614 650 780 921 975 1228 1300 1535 1759 1842 1950 3070 3518 3684 3900 3991 4605 5277 6140 7036 7675 7982 8795 9210 10554 11973 15350 15964 17590 18420 19955 21108 22867 23025 23946 26385 30700 35180 39910 43975 45734 46050 47892 52770 59865 68601 79820 87950 91468 92100 99775 105540 114335 119730 131925 137202 175900 199550 228670 239460 263850 274404 299325 343005 399100 457340 527700 540013 571675 598650 686010 1080026 1143350 1197300 1372020 1620039 1715025 2160052 2286700 2700065 3240078 3430050 5400130 6480156 6860100 7020169 8100195 10800260 13500325 14040338 16200390 21060507 27000650 28080676 32400780 35100845 40500975 42121014 54001300 70201690 81001950 84242028 105302535 140403380 162003900 175504225 210605070 351008450 421210140 526512675 702016900 1053025350 2106050700