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2106210520 = 235432834327
BaseRepresentation
bin111110110001010…
…0011100011011000
312102210012120200001
41331202203203120
513303142214040
6544555222344
7103123331311
oct17542434330
95383176601
102106210520
119909a0157
124a94479b4
1327748391b
1415da25608
15c4d9259a
hex7d8a38d8

2106210520 has 64 divisors (see below), whose sum is σ = 4867441920. Its totient is φ = 819794304.

The previous prime is 2106210511. The next prime is 2106210539. The reversal of 2106210520 is 250126012.

It is a super-2 number, since 2×21062105202 = 8872245509117340800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484597 + ... + 488923.

It is an arithmetic number, because the mean of its divisors is an integer number (76053780).

Almost surely, 22106210520 is an apocalyptic number.

2106210520 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 2106210520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433720960).

2106210520 is an abundant number, since it is smaller than the sum of its proper divisors (2761231400).

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

2106210520 is a wasteful number, since it uses less digits than its factorization.

2106210520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2106210520 is about 45893.4692521714. The cubic root of 2106210520 is about 1281.8403134427.

Adding to 2106210520 its reverse (250126012), we get a palindrome (2356336532).

The spelling of 2106210520 in words is "two billion, one hundred six million, two hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 283 344 430 566 860 1132 1415 1720 2264 2830 4327 5660 8654 11320 12169 17308 21635 24338 34616 43270 48676 60845 86540 97352 121690 173080 186061 243380 372122 486760 744244 930305 1224541 1488488 1860610 2449082 3721220 4898164 6122705 7442440 9796328 12245410 24490820 48981640 52655263 105310526 210621052 263276315 421242104 526552630 1053105260 2106210520