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10212320 = 25583769
BaseRepresentation
bin100110111101…
…001111100000
3201012211200002
4212331033200
510103243240
61002515132
7152542346
oct46751740
921184602
1010212320
115845738
123505aa8
1321673c1
1414db996
15d6ad15
hex9bd3e0

10212320 has 48 divisors (see below), whose sum is σ = 24449040. Its totient is φ = 4030464.

The previous prime is 10212317. The next prime is 10212353. The reversal of 10212320 is 2321201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12896 + ... + 13664.

It is an arithmetic number, because the mean of its divisors is an integer number (509355).

Almost surely, 210212320 is an apocalyptic number.

10212320 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 10212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224520).

10212320 is an abundant number, since it is smaller than the sum of its proper divisors (14236720).

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

10212320 is an equidigital number, since it uses as much as digits as its factorization.

10212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10212320 is about 3195.6720732891. The cubic root of 10212320 is about 216.9575684908.

Adding to 10212320 its reverse (2321201), we get a palindrome (12533521).

The spelling of 10212320 in words is "ten million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 769 830 1328 1538 1660 2656 3076 3320 3845 6152 6640 7690 12304 13280 15380 24608 30760 61520 63827 123040 127654 255308 319135 510616 638270 1021232 1276540 2042464 2553080 5106160 10212320