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105268530 = 2353508951
BaseRepresentation
bin1100100011001…
…00010100110010
321100002012021110
412101210110302
5203422043110
614240134150
72415524223
oct621442462
9240065243
10105268530
115446a894
122b307356
1318a69893
14dda324a
159395a20
hex6464532

105268530 has 16 divisors (see below), whose sum is σ = 252644544. Its totient is φ = 28071600.

The previous prime is 105268523. The next prime is 105268549. The reversal of 105268530 is 35862501.

It is a super-2 number, since 2×1052685302 = 22162926816721800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3508951 = 105268530 / (1 + 0 + 5 + 2 + 6 + 8 + 5 + 3 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1754446 + ... + 1754505.

It is an arithmetic number, because the mean of its divisors is an integer number (15790284).

Almost surely, 2105268530 is an apocalyptic number.

105268530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105268530 is an abundant number, since it is smaller than the sum of its proper divisors (147376014).

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

105268530 is a wasteful number, since it uses less digits than its factorization.

105268530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508961.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105268530 is about 10260.0453215373. The cubic root of 105268530 is about 472.1712278549.

The spelling of 105268530 in words is "one hundred five million, two hundred sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 3508951 7017902 10526853 17544755 21053706 35089510 52634265 105268530