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200710272 = 2737210667
BaseRepresentation
bin10111111011010…
…01100010000000
3111222200010201210
423331221202000
5402340212042
631525530120
74655003100
oct1375514200
9458603653
10200710272
11a3328664
1257273940
1332775699
141c929200
1512949a9c
hexbf69880

200710272 has 96 divisors (see below), whose sum is σ = 620237520. Its totient is φ = 57340416.

The previous prime is 200710267. The next prime is 200710273. The reversal of 200710272 is 272017002.

200710272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2007102722 = 80569226572627968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (200710273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13483 + ... + 24149.

Almost surely, 2200710272 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 200710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310118760).

200710272 is an abundant number, since it is smaller than the sum of its proper divisors (419527248).

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

200710272 is a wasteful number, since it uses less digits than its factorization.

200710272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 200710272 is about 14167.2252752612. The cubic root of 200710272 is about 585.4950123830.

Adding to 200710272 its reverse (272017002), we get a palindrome (472727274).

The spelling of 200710272 in words is "two hundred million, seven hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 10667 18816 21334 32001 42668 64002 74669 85336 128004 149338 170672 224007 256008 298676 341344 448014 512016 522683 597352 682688 896028 1024032 1045366 1194704 1365376 1568049 1792056 2048064 2090732 2389408 3136098 3584112 4096128 4181464 4778816 6272196 7168224 8362928 9557632 12544392 14336448 16725856 25088784 28672896 33451712 50177568 66903424 100355136 200710272