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10634320 = 245132929
BaseRepresentation
bin101000100100…
…010001010000
3202000021112201
4220210101100
510210244240
61015532544
7156250564
oct50442120
922007481
1010634320
1160037a4
12368a154
1322844c8
1415ab6a4
15e00d9a
hexa24450

10634320 has 20 divisors (see below), whose sum is σ = 24724980. Its totient is φ = 4253696.

The previous prime is 10634297. The next prime is 10634321. The reversal of 10634320 is 2343601.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 4700224 = 2436^2 + 2168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106343202 = 226177523724800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66385 + ... + 66544.

It is an arithmetic number, because the mean of its divisors is an integer number (1236249).

Almost surely, 210634320 is an apocalyptic number.

10634320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10634320 is an abundant number, since it is smaller than the sum of its proper divisors (14090660).

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

10634320 is a wasteful number, since it uses less digits than its factorization.

10634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132942 (or 132936 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 10634320 is about 3261.0305119701. The cubic root of 10634320 is about 219.9057447477.

Adding to 10634320 its reverse (2343601), we get a palindrome (12977921).

The spelling of 10634320 in words is "ten million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 132929 265858 531716 664645 1063432 1329290 2126864 2658580 5317160 10634320