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10645380 = 2232559141
BaseRepresentation
bin101000100110…
…111110000100
3202000211201100
4220212332010
510211123010
61020100100
7156325044
oct50467604
922024640
1010645380
116011039
123694630
132289555
1415b1724
15e042c0
hexa26f84

10645380 has 36 divisors (see below), whose sum is σ = 32291532. Its totient is φ = 2838720.

The previous prime is 10645373. The next prime is 10645399. The reversal of 10645380 is 8354601.

10645380 is a `hidden beast` number, since 10 + 645 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5225796 + 5419584 = 2286^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106453802 = 226648230688800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 29391 + ... + 29750.

It is an arithmetic number, because the mean of its divisors is an integer number (896987).

Almost surely, 210645380 is an apocalyptic number.

10645380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10645380 is an abundant number, since it is smaller than the sum of its proper divisors (21646152).

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

10645380 is a wasteful number, since it uses less digits than its factorization.

10645380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59156 (or 59151 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10645380 is about 3262.7258542513. The cubic root of 10645380 is about 219.9819544427.

Adding to 10645380 its reverse (8354601), we get a palindrome (18999981).

It can be divided in two parts, 10645 and 380, that added together give a square (11025 = 1052).

The spelling of 10645380 in words is "ten million, six hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 59141 118282 177423 236564 295705 354846 532269 591410 709692 887115 1064538 1182820 1774230 2129076 2661345 3548460 5322690 10645380