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200578640 = 2452507233
BaseRepresentation
bin10111111010010…
…01011001010000
3111222102110011112
423331021121100
5402322004030
631523032452
74653614243
oct1375113120
9458373145
10200578640
11a3248779
125720b728
133272a7b2
141c8d325a
1512920a95
hexbf49650

200578640 has 20 divisors (see below), whose sum is σ = 466345524. Its totient is φ = 80231424.

The previous prime is 200578633. The next prime is 200578691. The reversal of 200578640 is 46875002.

200578640 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 41011216 + 159567424 = 6404^2 + 12632^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 200578597 and 200578606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1253537 + ... + 1253696.

Almost surely, 2200578640 is an apocalyptic number.

200578640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200578640 is an abundant number, since it is smaller than the sum of its proper divisors (265766884).

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

200578640 is a wasteful number, since it uses less digits than its factorization.

200578640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507246 (or 2507240 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 200578640 is about 14162.5788612103. The cubic root of 200578640 is about 585.3669891498.

The spelling of 200578640 in words is "two hundred million, five hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2507233 5014466 10028932 12536165 20057864 25072330 40115728 50144660 100289320 200578640