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200891520 = 2732534877
BaseRepresentation
bin10111111100101…
…01110010000000
3112000000100100200
423332111302000
5402412012040
631533445200
74656356364
oct1376256200
9460010320
10200891520
11a3441855
1257340800
133280a02b
141c9752a4
1512983630
hexbf95c80

200891520 has 96 divisors (see below), whose sum is σ = 693723420. Its totient is φ = 53569536.

The previous prime is 200891507. The next prime is 200891531. The reversal of 200891520 is 25198002.

200891520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 199826496 + 1065024 = 14136^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11679 + ... + 23198.

Almost surely, 2200891520 is an apocalyptic number.

200891520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200891520 is an abundant number, since it is smaller than the sum of its proper divisors (492831900).

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

200891520 is a wasteful number, since it uses less digits than its factorization.

200891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34902 (or 34887 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 200891520 is about 14173.6205678013. The cubic root of 200891520 is about 585.6711997994.

It can be divided in two parts, 20089 and 1520, that added together give a square (21609 = 1472).

The spelling of 200891520 in words is "two hundred million, eight hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 34877 69754 104631 139508 174385 209262 279016 313893 348770 418524 523155 558032 627786 697540 837048 1046310 1116064 1255572 1395080 1569465 1674096 2092620 2232128 2511144 2790160 3138930 3348192 4185240 4464256 5022288 5580320 6277860 6696384 8370480 10044576 11160640 12555720 13392768 16740960 20089152 22321280 25111440 33481920 40178304 50222880 66963840 100445760 200891520