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930206268 = 22345994793
BaseRepresentation
bin110111011100011…
…101001000111100
32101211100101010000
4313130131020330
53401113100033
6232145314300
732023423425
oct6734351074
92354311100
10930206268
11438093812
1221b635990
1311a941514
148b78064c
15569e6a13
hex3771d23c

930206268 has 60 divisors (see below), whose sum is σ = 2436310800. Its totient is φ = 309486528.

The previous prime is 930206267. The next prime is 930206279. The reversal of 930206268 is 862602039.

930206268 is a `hidden beast` number, since 9 + 3 + 0 + 20 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930206267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191680 + ... + 196472.

It is an arithmetic number, because the mean of its divisors is an integer number (40605180).

Almost surely, 2930206268 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 930206268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218155400).

930206268 is an abundant number, since it is smaller than the sum of its proper divisors (1506104532).

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

930206268 is a wasteful number, since it uses less digits than its factorization.

930206268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 930206268 is about 30499.2830735413. The cubic root of 930206268 is about 976.1721665621.

The spelling of 930206268 in words is "nine hundred thirty million, two hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 599 1198 1797 2396 3594 4793 5391 7188 9586 10782 14379 16173 19172 21564 28758 32346 43137 48519 57516 64692 86274 97038 129411 172548 194076 258822 388233 517644 776466 1552932 2871007 5742014 8613021 11484028 17226042 25839063 34452084 51678126 77517189 103356252 155034378 232551567 310068756 465103134 930206268