Search a number
-
+
10194912 = 2532713389
BaseRepresentation
bin100110111000…
…111111100000
3201011221210100
4212320333200
510102214122
61002302400
7152440530
oct46707740
921157710
1010194912
115833652
1234b7a00
13215c4c0
1414d54c0
15d65aac
hex9b8fe0

10194912 has 144 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 2681856.

The previous prime is 10194907. The next prime is 10194923. The reversal of 10194912 is 21949101.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 26014 + ... + 26402.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 210194912 is an apocalyptic number.

10194912 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 10194912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

10194912 is an abundant number, since it is smaller than the sum of its proper divisors (25579008).

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

10194912 is a wasteful number, since it uses less digits than its factorization.

10194912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10194912 is about 3192.9472278758. The cubic root of 10194912 is about 216.8342225266.

The spelling of 10194912 in words is "ten million, one hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 389 416 468 504 546 624 672 728 778 819 936 1008 1092 1167 1248 1456 1556 1638 1872 2016 2184 2334 2723 2912 3112 3276 3501 3744 4368 4668 5057 5446 6224 6552 7002 8169 8736 9336 10114 10892 12448 13104 14004 15171 16338 18672 20228 21784 24507 26208 28008 30342 32676 35399 37344 40456 43568 45513 49014 56016 60684 65352 70798 80912 87136 91026 98028 106197 112032 121368 130704 141596 161824 182052 196056 212394 242736 261408 283192 318591 364104 392112 424788 485472 566384 637182 728208 784224 849576 1132768 1274364 1456416 1699152 2548728 3398304 5097456 10194912