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10212048 = 2433711307
BaseRepresentation
bin100110111101…
…001011010000
3201012211022000
4212331023100
510103241143
61002514000
7152541510
oct46751320
921184260
1010212048
115845510
123505900
132167242
1414db840
15d6abd3
hex9bd2d0

10212048 has 160 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 2643840.

The previous prime is 10212029. The next prime is 10212061. The reversal of 10212048 is 84021201.

10212048 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

10212048 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 10212048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33111 + ... + 33417.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 210212048 is an apocalyptic number.

10212048 is a gapful number since it is divisible by the number (18) 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 10212048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

10212048 is an abundant number, since it is smaller than the sum of its proper divisors (26452272).

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

10212048 is a wasteful number, since it uses less digits than its factorization.

10212048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10212048 is about 3195.6295154476. The cubic root of 10212048 is about 216.9556422885.

Adding to 10212048 its reverse (84021201), we get a palindrome (94233249).

The spelling of 10212048 in words is "ten million, two hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 307 308 336 378 396 432 462 504 528 594 614 616 693 756 792 921 924 1008 1188 1228 1232 1386 1512 1584 1842 1848 2079 2149 2376 2456 2763 2772 3024 3377 3684 3696 4158 4298 4752 4912 5526 5544 6447 6754 7368 8289 8316 8596 10131 11052 11088 12894 13508 14736 16578 16632 17192 19341 20262 22104 23639 25788 27016 30393 33156 33264 34384 38682 40524 44208 47278 51576 54032 58023 60786 66312 70917 77364 81048 91179 94556 103152 116046 121572 132624 141834 154728 162096 182358 189112 212751 232092 243144 283668 309456 364716 378224 425502 464184 486288 567336 638253 729432 851004 928368 1134672 1276506 1458864 1702008 2553012 3404016 5106024 10212048