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105402304 = 267235273
BaseRepresentation
bin1100100100001…
…00111111000000
321100022222210001
412102010333000
5203440333204
614243045344
72416622230
oct622047700
9240288701
10105402304
1154551347
122b370854
1318ab5737
14ddd9cc0
1593c04a4
hex6484fc0

105402304 has 28 divisors (see below), whose sum is σ = 239038384. Its totient is φ = 45172224.

The previous prime is 105402293. The next prime is 105402313. The reversal of 105402304 is 403204501.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1054023042 = 22219291377016832, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 117189 + ... + 118084.

Almost surely, 2105402304 is an apocalyptic number.

105402304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105402304 is an abundant number, since it is smaller than the sum of its proper divisors (133636080).

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

105402304 is an equidigital number, since it uses as much as digits as its factorization.

105402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235292 (or 235282 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105402304 is about 10266.5624237132. The cubic root of 105402304 is about 472.3711530576.

Adding to 105402304 its reverse (403204501), we get a palindrome (508606805).

The spelling of 105402304 in words is "one hundred five million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 235273 470546 941092 1646911 1882184 3293822 3764368 6587644 7528736 13175288 15057472 26350576 52701152 105402304