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10329220 = 22511291619
BaseRepresentation
bin100111011001…
…110010000100
3201102210000201
4213121302010
510121013340
61005220244
7153540226
oct47316204
921383021
1010329220
115915550
123561684
1321a8685
14152c416
15d9079a
hex9d9c84

10329220 has 48 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 3624320.

The previous prime is 10329203. The next prime is 10329227. The reversal of 10329220 is 2292301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10329227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5571 + ... + 7189.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 210329220 is an apocalyptic number.

10329220 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 10329220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

10329220 is an abundant number, since it is smaller than the sum of its proper divisors (14165180).

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

10329220 is a wasteful number, since it uses less digits than its factorization.

10329220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10329220 is about 3213.9103907857. The cubic root of 10329220 is about 217.7822644347.

The spelling of 10329220 in words is "ten million, three hundred twenty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 1619 3190 3238 6380 6476 8095 16190 17809 32380 35618 46951 71236 89045 93902 178090 187804 234755 356180 469510 516461 939020 1032922 2065844 2582305 5164610 10329220