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206326432 = 25134112097
BaseRepresentation
bin11000100110001…
…00101010100000
3112101020110122201
430103010222200
5410304421212
632250142544
75053513534
oct1423045240
9471213581
10206326432
11a6514114
1259121a54
1333990a60
141d58bbc4
15131a8b57
hexc4c4aa0

206326432 has 48 divisors (see below), whose sum is σ = 448158312. Its totient is φ = 92897280.

The previous prime is 206326423. The next prime is 206326447. The reversal of 206326432 is 234623602.

It can be written as a sum of positive squares in 4 ways, for example, as 30074256 + 176252176 = 5484^2 + 13276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 206326432.

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, 11008 + ... + 23104.

Almost surely, 2206326432 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 206326432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224079156).

206326432 is an abundant number, since it is smaller than the sum of its proper divisors (241831880).

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

206326432 is a wasteful number, since it uses less digits than its factorization.

206326432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12161 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 206326432 is about 14364.0673905409. The cubic root of 206326432 is about 590.9058497165.

The spelling of 206326432 in words is "two hundred six million, three hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 12097 17056 24194 48388 96776 157261 193552 314522 387104 495977 629044 991954 1258088 1983908 2516176 3967816 5032352 6447701 7935632 12895402 15871264 25790804 51581608 103163216 206326432