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10234180 = 2251124229
BaseRepresentation
bin100111000010…
…100101000100
3201020221122201
4213002211010
510104443210
61003204244
7152663155
oct47024504
921227581
1010234180
115860100
123516684
132174338
14150592c
15d7253a
hex9c2944

10234180 has 36 divisors (see below), whose sum is σ = 23628780. Its totient is φ = 3720640.

The previous prime is 10234157. The next prime is 10234181. The reversal of 10234180 is 8143201.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 2304324 = 2816^2 + 1518^2 .

It is not an unprimeable number, because it can be changed into a prime (10234181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 4534.

It is an arithmetic number, because the mean of its divisors is an integer number (656355).

Almost surely, 210234180 is an apocalyptic number.

10234180 is a gapful number since it is divisible by the number (10) 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 10234180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814390).

10234180 is an abundant number, since it is smaller than the sum of its proper divisors (13394600).

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

10234180 is a wasteful number, since it uses less digits than its factorization.

10234180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10234180 is about 3199.0904957503. The cubic root of 10234180 is about 217.1122611390.

Adding to 10234180 its reverse (8143201), we get a palindrome (18377381).

The spelling of 10234180 in words is "ten million, two hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 4229 8458 16916 21145 42290 46519 84580 93038 186076 232595 465190 511709 930380 1023418 2046836 2558545 5117090 10234180