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201021984 = 2532697993
BaseRepresentation
bin10111111101101…
…01101000100000
3112000020222022200
423332311220200
5402430200414
631540333200
74660441632
oct1376655040
9460228280
10201021984
11a3520879
12573a4200
1332854527
141c9aaa52
15129ac109
hexbfb5a20

201021984 has 36 divisors (see below), whose sum is σ = 571657086. Its totient is φ = 67007232.

The previous prime is 201021973. The next prime is 201022007. The reversal of 201021984 is 489120102.

It can be written as a sum of positive squares in only one way, i.e., 200845584 + 176400 = 14172^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 348709 + ... + 349284.

Almost surely, 2201021984 is an apocalyptic number.

201021984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201021984 is an abundant number, since it is smaller than the sum of its proper divisors (370635102).

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

201021984 is a wasteful number, since it uses less digits than its factorization.

201021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698009 (or 697998 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 201021984 is about 14178.2221734603. Note that the first 3 decimals coincide. The cubic root of 201021984 is about 585.7979555608.

The spelling of 201021984 in words is "two hundred one million, twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 697993 1395986 2093979 2791972 4187958 5583944 6281937 8375916 11167888 12563874 16751832 22335776 25127748 33503664 50255496 67007328 100510992 201021984