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10506104 = 237434363
BaseRepresentation
bin101000000100…
…111101111000
3201202202122222
4220010331320
510142143404
61013103212
7155205020
oct50047570
921682588
1010506104
115a26434
123627b08
13223b03b
141576a80
15dc7dbe
hexa04f78

10506104 has 32 divisors (see below), whose sum is σ = 23041920. Its totient is φ = 4396896.

The previous prime is 10506079. The next prime is 10506169. The reversal of 10506104 is 40160501.

It is a happy number.

It is a super-2 number, since 2×105061042 = 220756442517632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 227 + ... + 4589.

It is an arithmetic number, because the mean of its divisors is an integer number (720060).

Almost surely, 210506104 is an apocalyptic number.

10506104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520960).

10506104 is an abundant number, since it is smaller than the sum of its proper divisors (12535816).

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

10506104 is a wasteful number, since it uses less digits than its factorization.

10506104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10506104 is about 3241.3120800071. The cubic root of 10506104 is about 219.0183814489.

Adding to 10506104 its reverse (40160501), we get a palindrome (50666605).

The spelling of 10506104 in words is "ten million, five hundred six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 4363 8726 17452 30541 34904 61082 122164 187609 244328 375218 750436 1313263 1500872 2626526 5253052 10506104