Search a number
-
+
10506414 = 234142709
BaseRepresentation
bin101000000101…
…000010101110
3201202210002110
4220011002232
510142201124
61013104450
7155205642
oct50050256
921683073
1010506414
115a26696
123628126
13223b219
141576c22
15dc8029
hexa050ae

10506414 has 16 divisors (see below), whose sum is σ = 21525840. Its totient is φ = 3416640.

The previous prime is 10506407. The next prime is 10506421. The reversal of 10506414 is 41460501.

It is an interprime number because it is at equal distance from previous prime (10506407) and next prime (10506421).

It is a super-2 number, since 2×105064142 = 220769470278792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21109 + ... + 21600.

It is an arithmetic number, because the mean of its divisors is an integer number (1345365).

Almost surely, 210506414 is an apocalyptic number.

10506414 is an abundant number, since it is smaller than the sum of its proper divisors (11019426).

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

10506414 is a wasteful number, since it uses less digits than its factorization.

10506414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42755.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10506414 is about 3241.3598997951. The cubic root of 10506414 is about 219.0205355944.

Adding to 10506414 its reverse (41460501), we get a palindrome (51966915).

The spelling of 10506414 in words is "ten million, five hundred six thousand, four hundred fourteen".

Divisors: 1 2 3 6 41 82 123 246 42709 85418 128127 256254 1751069 3502138 5253207 10506414