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10675350 = 2325273389
BaseRepresentation
bin101000101110…
…010010010110
3202002100211100
4220232102112
510213102400
61020450530
7156511320
oct50562226
922070740
1010675350
116031604
1236a9a46
13229a09a
1415bc610
15e0d100
hexa2e496

10675350 has 72 divisors (see below), whose sum is σ = 32788080. Its totient is φ = 2439360.

The previous prime is 10675319. The next prime is 10675367. The reversal of 10675350 is 5357601.

It is a super-2 number, since 2×106753502 = 227926195245000, which contains 22 as substring.

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 1456 + ... + 4844.

It is an arithmetic number, because the mean of its divisors is an integer number (455390).

Almost surely, 210675350 is an apocalyptic number.

10675350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10675350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394040).

10675350 is an abundant number, since it is smaller than the sum of its proper divisors (22112730).

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

10675350 is a wasteful number, since it uses less digits than its factorization.

10675350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10675350 is about 3267.3154117716. The cubic root of 10675350 is about 220.1881998394.

It can be divided in two parts, 10675 and 350, that added together give a square (11025 = 1052).

The spelling of 10675350 in words is "ten million, six hundred seventy-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 3389 6778 10167 16945 20334 23723 30501 33890 47446 50835 61002 71169 84725 101670 118615 142338 152505 169450 213507 237230 254175 305010 355845 427014 508350 593075 711690 762525 1067535 1186150 1525050 1779225 2135070 3558450 5337675 10675350