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10506352 = 242922643
BaseRepresentation
bin101000000101…
…000001110000
3201202210000011
4220011001300
510142200402
61013104304
7155205523
oct50050160
921683004
1010506352
115a2663a
123628094
13223b19c
141576bba
15dc7ed7
hexa05070

10506352 has 20 divisors (see below), whose sum is σ = 21058920. Its totient is φ = 5071808.

The previous prime is 10506347. The next prime is 10506359. The reversal of 10506352 is 25360501.

It is a happy number.

It is a super-2 number, since 2×105063522 = 220766864695808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506359) 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, 10858 + ... + 11785.

It is an arithmetic number, because the mean of its divisors is an integer number (1052946).

Almost surely, 210506352 is an apocalyptic number.

It is an amenable number.

10506352 is an abundant number, since it is smaller than the sum of its proper divisors (10552568).

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

10506352 is a wasteful number, since it uses less digits than its factorization.

10506352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22680 (or 22674 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 10506352 is about 3241.3503358940. The cubic root of 10506352 is about 219.0201047687.

Adding to 10506352 its reverse (25360501), we get a palindrome (35866853).

The spelling of 10506352 in words is "ten million, five hundred six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 22643 45286 90572 181144 362288 656647 1313294 2626588 5253176 10506352