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210030996 = 223797149173
BaseRepresentation
bin11001000010011…
…01000110010100
3112122012200100210
430201031012110
5412231442441
632501405420
75130143160
oct1441150624
9478180323
10210030996
11a861443a
125a409870
1334689cc6
141dc73ca0
151368b616
hexc84d194

210030996 has 96 divisors (see below), whose sum is σ = 572947200. Its totient is φ = 58650624.

The previous prime is 210030929. The next prime is 210031007. The reversal of 210030996 is 699030012.

210030996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2100309962 = 88226038561504032, which contains 22 as substring.

210030996 is a modest number, since divided by 30996 gives 2100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213966 + ... + 1214138.

It is an arithmetic number, because the mean of its divisors is an integer number (5968200).

Almost surely, 2210030996 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 210030996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286473600).

210030996 is an abundant number, since it is smaller than the sum of its proper divisors (362916204).

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

210030996 is a wasteful number, since it uses less digits than its factorization.

With its successor (210030997) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (433).

210030996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 210030996 is about 14492.4461703330. The cubic root of 210030996 is about 594.4214379336.

The spelling of 210030996 in words is "two hundred ten million, thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 149 173 194 291 298 346 388 447 519 582 596 679 692 894 1038 1043 1164 1211 1358 1788 2037 2076 2086 2422 2716 3129 3633 4074 4172 4844 6258 7266 8148 12516 14453 14532 16781 25777 28906 33562 43359 50343 51554 57812 67124 77331 86718 100686 101171 103108 117467 154662 173436 180439 201372 202342 234934 303513 309324 352401 360878 404684 469868 541317 607026 704802 721756 1082634 1214052 1409604 2165268 2500369 5000738 7501107 10001476 15002214 17502583 30004428 35005166 52507749 70010332 105015498 210030996