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10283940 = 22325193197
BaseRepresentation
bin100111001110…
…101110100100
3201100110220200
4213032232210
510113041230
61004230500
7153261222
oct47165644
921313820
1010283940
115894527
12353b430
132190b94
141519b12
15d82160
hex9ceba4

10283940 has 144 divisors (see below), whose sum is σ = 34245120. Its totient is φ = 2488320.

The previous prime is 10283927. The next prime is 10283947. The reversal of 10283940 is 4938201.

It is not an unprimeable number, because it can be changed into a prime (10283947) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 105972 + ... + 106068.

Almost surely, 210283940 is an apocalyptic number.

10283940 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 10283940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122560).

10283940 is an abundant number, since it is smaller than the sum of its proper divisors (23961180).

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

10283940 is a wasteful number, since it uses less digits than its factorization.

10283940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10283940 is about 3206.8582756336. The cubic root of 10283940 is about 217.4635690072.

The spelling of 10283940 in words is "ten million, two hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 97 114 124 155 171 180 186 190 194 228 279 285 291 310 342 372 380 388 465 485 558 570 582 589 620 684 855 873 930 970 1116 1140 1164 1178 1395 1455 1710 1746 1767 1843 1860 1940 2356 2790 2910 2945 3007 3420 3492 3534 3686 4365 5301 5529 5580 5820 5890 6014 7068 7372 8730 8835 9021 9215 10602 11058 11780 12028 15035 16587 17460 17670 18042 18430 21204 22116 26505 27063 27645 30070 33174 35340 36084 36860 45105 53010 54126 55290 57133 60140 66348 82935 90210 106020 108252 110580 114266 135315 165870 171399 180420 228532 270630 285665 331740 342798 514197 541260 571330 685596 856995 1028394 1142660 1713990 2056788 2570985 3427980 5141970 10283940