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200713424 = 24176112097
BaseRepresentation
bin10111111011010…
…10010011010000
3111222200022001112
423331222103100
5402340312144
631525552452
74655015222
oct1375522320
9458608045
10200713424
11a332aa6a
1257275728
1332776c52
141c92a412
151294a99e
hexbf6a4d0

200713424 has 40 divisors (see below), whose sum is σ = 418542408. Its totient is φ = 92897280.

The previous prime is 200713417. The next prime is 200713439. The reversal of 200713424 is 424317002.

It can be written as a sum of positive squares in 4 ways, for example, as 1000000 + 199713424 = 1000^2 + 14132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200713424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10544 + ... + 22640.

Almost surely, 2200713424 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 200713424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209271204).

200713424 is an abundant number, since it is smaller than the sum of its proper divisors (217828984).

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

200713424 is a wasteful number, since it uses less digits than its factorization.

200713424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 200713424 is about 14167.3365174969. The cubic root of 200713424 is about 585.4980772828.

The spelling of 200713424 in words is "two hundred million, seven hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 4148 8296 12097 16592 24194 48388 96776 193552 205649 411298 737917 822596 1475834 1645192 2951668 3290384 5903336 11806672 12544589 25089178 50178356 100356712 200713424