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10509040 = 245131363
BaseRepresentation
bin101000000101…
…101011110000
3201202220200201
4220011223300
510142242130
61013124544
7155216413
oct50055360
921686621
1010509040
115a28663
123629754
13223c489
141577b7a
15dc8bca
hexa05af0

10509040 has 20 divisors (see below), whose sum is σ = 24433704. Its totient is φ = 4203584.

The previous prime is 10509029. The next prime is 10509097. The reversal of 10509040 is 4090501.

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

It is a super-2 number, since 2×105090402 = 220879843443200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10508999 and 10509017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65602 + ... + 65761.

Almost surely, 210509040 is an apocalyptic number.

10509040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10509040 is an abundant number, since it is smaller than the sum of its proper divisors (13924664).

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

10509040 is a wasteful number, since it uses less digits than its factorization.

10509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131376 (or 131370 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10509040 is about 3241.7649513807. The cubic root of 10509040 is about 219.0387815920.

Adding to 10509040 its reverse (4090501), we get a palindrome (14599541).

The spelling of 10509040 in words is "ten million, five hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131363 262726 525452 656815 1050904 1313630 2101808 2627260 5254520 10509040