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208297540 = 225111376911
BaseRepresentation
bin11000110101001…
…01111001000100
3112111221121111201
430122211321010
5411311010130
632400312244
75106333313
oct1432457104
9474847451
10208297540
11a7640030
1259912684
1334200ca9
141d94227a
1513447bca
hexc6a5e44

208297540 has 48 divisors (see below), whose sum is σ = 480743424. Its totient is φ = 75180800.

The previous prime is 208297519. The next prime is 208297541. The reversal of 208297540 is 45792802.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 208297540.

It is not an unprimeable number, because it can be changed into a prime (208297541) 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 15 ways as a sum of consecutive naturals, for example, 26685 + ... + 33595.

It is an arithmetic number, because the mean of its divisors is an integer number (10015488).

Almost surely, 2208297540 is an apocalyptic number.

208297540 is a gapful number since it is divisible by the number (20) 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 208297540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240371712).

208297540 is an abundant number, since it is smaller than the sum of its proper divisors (272445884).

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

208297540 is a wasteful number, since it uses less digits than its factorization.

208297540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 208297540 is about 14432.5167590410. The cubic root of 208297540 is about 592.7815986525.

The spelling of 208297540 in words is "two hundred eight million, two hundred ninety-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 6911 7535 13822 15070 27644 30140 34555 69110 76021 138220 152042 304084 380105 760210 946807 1520420 1893614 3787228 4734035 9468070 10414877 18936140 20829754 41659508 52074385 104148770 208297540