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105239380 = 2256418209
BaseRepresentation
bin1100100010111…
…01001101010100
321100000201021211
412101131031110
5203420130010
614235351204
72415343231
oct621351524
9240021254
10105239380
115444a9a4
122b2b2504
1318a5952c
14dd96788
15938c08a
hex645d354

105239380 has 24 divisors (see below), whose sum is σ = 221374440. Its totient is φ = 42024960.

The previous prime is 105239369. The next prime is 105239399. The reversal of 105239380 is 83932501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8964036 + 96275344 = 2994^2 + 9812^2 .

It is a super-2 number, since 2×1052393802 = 22150654205568800, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8716 + ... + 16924.

It is an arithmetic number, because the mean of its divisors is an integer number (9223935).

Almost surely, 2105239380 is an apocalyptic number.

105239380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105239380 is an abundant number, since it is smaller than the sum of its proper divisors (116135060).

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

105239380 is a wasteful number, since it uses less digits than its factorization.

105239380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105239380 is about 10258.6246641545. The cubic root of 105239380 is about 472.1276407166.

The spelling of 105239380 in words is "one hundred five million, two hundred thirty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 8209 12820 16418 32836 41045 82090 164180 5261969 10523938 21047876 26309845 52619690 105239380