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2105865324 = 2233531672203
BaseRepresentation
bin111110110000100…
…1111010001101100
312102202120001011000
41331201033101230
513303100142244
6544544000300
7103120363023
oct17541172154
95382501130
102105865324
11990784872
124a9300090
13277392774
1415d9758ba
15c4d25169
hex7d84f46c

2105865324 has 96 divisors (see below), whose sum is σ = 5598512640. Its totient is φ = 684275904.

The previous prime is 2105865319. The next prime is 2105865337. The reversal of 2105865324 is 4235685012.

2105865324 is a `hidden beast` number, since 2 + 1 + 0 + 586 + 53 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 954807 + ... + 957009.

It is an arithmetic number, because the mean of its divisors is an integer number (58317840).

Almost surely, 22105865324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105865324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799256320).

2105865324 is an abundant number, since it is smaller than the sum of its proper divisors (3492647316).

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

2105865324 is a wasteful number, since it uses less digits than its factorization.

2105865324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2105865324 is about 45889.7082579526. The cubic root of 2105865324 is about 1281.7702808224.

The spelling of 2105865324 in words is "two billion, one hundred five million, eight hundred sixty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 167 212 318 334 477 501 636 668 954 1002 1431 1503 1908 2004 2203 2862 3006 4406 4509 5724 6012 6609 8812 8851 9018 13218 17702 18036 19827 26436 26553 35404 39654 53106 59481 79308 79659 106212 116759 118962 159318 233518 237924 238977 318636 350277 367901 467036 477954 700554 735802 955908 1050831 1103703 1401108 1471604 2101662 2207406 3152493 3311109 4203324 4414812 6304986 6622218 9933327 12609972 13244436 19498753 19866654 38997506 39733308 58496259 77995012 116992518 175488777 233985036 350977554 526466331 701955108 1052932662 2105865324