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208620328 = 23717317069
BaseRepresentation
bin11000110111101…
…00101100101000
3112112120000021211
430123310230220
5411401322303
632411242504
75112146350
oct1433645450
9475500254
10208620328
11a78405a4
1259a49434
13342b4ba7
141d9c7b60
15134ad66d
hexc6f4b28

208620328 has 64 divisors (see below), whose sum is σ = 488678400. Its totient is φ = 81423360.

The previous prime is 208620271. The next prime is 208620331. The reversal of 208620328 is 823026802.

208620328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 208620328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25978 + ... + 33046.

It is an arithmetic number, because the mean of its divisors is an integer number (7635600).

Almost surely, 2208620328 is an apocalyptic number.

208620328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208620328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244339200).

208620328 is an abundant number, since it is smaller than the sum of its proper divisors (280058072).

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

208620328 is a wasteful number, since it uses less digits than its factorization.

208620328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 208620328 is about 14443.6950950925. The cubic root of 208620328 is about 593.0876416869.

The spelling of 208620328 in words is "two hundred eight million, six hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 527 868 952 1054 1736 2108 3689 4216 7069 7378 14138 14756 28276 29512 49483 56552 98966 120173 197932 219139 240346 395864 438278 480692 841211 876556 961384 1533973 1682422 1753112 3067946 3364844 3725363 6135892 6729688 7450726 12271784 14901452 26077541 29802904 52155082 104310164 208620328