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2084630010 = 235477332017
BaseRepresentation
bin111110001000000…
…1110110111111010
312101021121011202220
41330100032313322
513232131130020
6542504504510
7102442030341
oct17420166772
95337534686
102084630010
1197a7a0421
124a217b136
13272b68ca8
1415ac08b58
15c302d240
hex7c40edfa

2084630010 has 64 divisors (see below), whose sum is σ = 5119068672. Its totient is φ = 543062016.

The previous prime is 2084630003. The next prime is 2084630021. The reversal of 2084630010 is 100364802.

It is a happy number.

It is a Curzon number.

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, 1032522 + ... + 1034538.

It is an arithmetic number, because the mean of its divisors is an integer number (79985448).

Almost surely, 22084630010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084630010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559534336).

2084630010 is an abundant number, since it is smaller than the sum of its proper divisors (3034438662).

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

2084630010 is a wasteful number, since it uses less digits than its factorization.

2084630010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2084630010 is about 45657.7486304351. The cubic root of 2084630010 is about 1277.4473071838.

Adding to 2084630010 its reverse (100364802), we get a palindrome (2184994812).

The spelling of 2084630010 in words is "two billion, eighty-four million, six hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 733 1410 1466 2017 2199 3665 4034 4398 6051 7330 10085 10995 12102 20170 21990 30255 34451 60510 68902 94799 103353 172255 189598 206706 284397 344510 473995 516765 568794 947990 1033530 1421985 1478461 2843970 2956922 4435383 7392305 8870766 14784610 22176915 44353830 69487667 138975334 208463001 347438335 416926002 694876670 1042315005 2084630010