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261606330 = 23258093593
BaseRepresentation
bin11111001011111…
…00101110111010
3200020020222102100
433211330232322
51013432400310
641543044230
76324421446
oct1745745672
9606228370
10261606330
11124740787
1273740676
134227745b
1426a5b826
1517e77ec0
hexf97cbba

261606330 has 48 divisors (see below), whose sum is σ = 681206760. Its totient is φ = 69656064.

The previous prime is 261606313. The next prime is 261606337. The reversal of 261606330 is 33606162.

261606330 is a `hidden beast` number, since 26 + 1 + 6 + 0 + 633 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 232349049 + 29257281 = 15243^2 + 5409^2 .

It is a junction number, because it is equal to n+sod(n) for n = 261606294 and 261606303.

It is not an unprimeable number, because it can be changed into a prime (261606337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71014 + ... + 74606.

Almost surely, 2261606330 is an apocalyptic number.

261606330 is an abundant number, since it is smaller than the sum of its proper divisors (419600430).

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

261606330 is a wasteful number, since it uses less digits than its factorization.

261606330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 261606330 is about 16174.2489779278. The cubic root of 261606330 is about 639.5621435424.

The spelling of 261606330 in words is "two hundred sixty-one million, six hundred six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 809 1618 2427 3593 4045 4854 7186 7281 8090 10779 12135 14562 17965 21558 24270 32337 35930 36405 53895 64674 72810 107790 161685 323370 2906737 5813474 8720211 14533685 17440422 26160633 29067370 43601055 52321266 87202110 130803165 261606330