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10293318 = 234729313
BaseRepresentation
bin100111010001…
…000001000110
3201100221210000
4213101001012
510113341233
61004342130
7153330450
oct47210106
921327700
1010293318
1158a0582
123544946
132195229
14151d2d0
15d84d13
hex9d1046

10293318 has 80 divisors (see below), whose sum is σ = 27355680. Its totient is φ = 2830464.

The previous prime is 10293299. The next prime is 10293319. The reversal of 10293318 is 81339201.

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 = 10293291 and 10293300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10293319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32730 + ... + 33042.

It is an arithmetic number, because the mean of its divisors is an integer number (341946).

Almost surely, 210293318 is an apocalyptic number.

10293318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10293318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677840).

10293318 is an abundant number, since it is smaller than the sum of its proper divisors (17062362).

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

10293318 is a wasteful number, since it uses less digits than its factorization.

10293318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10293318 is about 3208.3201211849. The cubic root of 10293318 is about 217.5296511300.

The spelling of 10293318 in words is "ten million, two hundred ninety-three thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 313 378 406 522 567 609 626 783 939 1134 1218 1566 1827 1878 2191 2349 2817 3654 4382 4698 5481 5634 6573 8451 9077 10962 13146 16443 16902 18154 19719 25353 27231 32886 39438 50706 54462 59157 63539 81693 118314 127078 163386 177471 190617 245079 354942 381234 490158 571851 735237 1143702 1470474 1715553 3431106 5146659 10293318