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10468332 = 2233761227
BaseRepresentation
bin100111111011…
…101111101100
3201200211212000
4213323233230
510134441312
61012212300
7154656630
oct47735754
921624760
1010468332
115a00016
12360a090
132226aa4
141566dc0
15dbbadc
hex9fbbec

10468332 has 96 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 2928960.

The previous prime is 10468331. The next prime is 10468361. The reversal of 10468332 is 23386401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10468296 and 10468305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10468331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46003 + ... + 46229.

It is an arithmetic number, because the mean of its divisors is an integer number (329840).

Almost surely, 210468332 is an apocalyptic number.

10468332 is a gapful number since it is divisible by the number (12) 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 10468332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

10468332 is an abundant number, since it is smaller than the sum of its proper divisors (21196308).

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

10468332 is a wasteful number, since it uses less digits than its factorization.

10468332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10468332 is about 3235.4801807460. The cubic root of 10468332 is about 218.7555914761.

The spelling of 10468332 in words is "ten million, four hundred sixty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 84 108 122 126 183 189 227 244 252 366 378 427 454 549 681 732 756 854 908 1098 1281 1362 1589 1647 1708 2043 2196 2562 2724 3178 3294 3843 4086 4767 5124 6129 6356 6588 7686 8172 9534 11529 12258 13847 14301 15372 19068 23058 24516 27694 28602 41541 42903 46116 55388 57204 83082 85806 96929 124623 166164 171612 193858 249246 290787 373869 387716 498492 581574 747738 872361 1163148 1495476 1744722 2617083 3489444 5234166 10468332