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106298430 = 2357506183
BaseRepresentation
bin1100101010111…
…11110000111110
321102000112000220
412111133300332
5204203022210
614314202210
72430343650
oct625376076
9242015026
10106298430
1155003647
122b723366
131903a5a4
14101906d0
1594eac70
hex655fc3e

106298430 has 32 divisors (see below), whose sum is σ = 291561984. Its totient is φ = 24296736.

The previous prime is 106298429. The next prime is 106298441. The reversal of 106298430 is 34892601.

It is a super-2 number, since 2×1062984302 = 22598712440929800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106298391 and 106298400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252882 + ... + 253301.

It is an arithmetic number, because the mean of its divisors is an integer number (9111312).

Almost surely, 2106298430 is an apocalyptic number.

106298430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106298430 is an abundant number, since it is smaller than the sum of its proper divisors (185263554).

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

106298430 is a wasteful number, since it uses less digits than its factorization.

106298430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506200.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 106298430 is about 10310.1129964710. The cubic root of 106298430 is about 473.7060703297.

The spelling of 106298430 in words is "one hundred six million, two hundred ninety-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 506183 1012366 1518549 2530915 3037098 3543281 5061830 7086562 7592745 10629843 15185490 17716405 21259686 35432810 53149215 106298430