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10339280 = 245737499
BaseRepresentation
bin100111011100…
…001111010000
3201110021211022
4213130033100
510121324110
61005335012
7153611450
oct47341720
921407738
1010339280
115922066
123567468
1321b0123
141531d60
15d93755
hex9dc3d0

10339280 has 80 divisors (see below), whose sum is σ = 28272000. Its totient is φ = 3442176.

The previous prime is 10339279. The next prime is 10339289. The reversal of 10339280 is 8293301.

10339280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10339289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20471 + ... + 20969.

It is an arithmetic number, because the mean of its divisors is an integer number (353400).

Almost surely, 210339280 is an apocalyptic number.

10339280 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 10339280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136000).

10339280 is an abundant number, since it is smaller than the sum of its proper divisors (17932720).

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

10339280 is a wasteful number, since it uses less digits than its factorization.

10339280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10339280 is about 3215.4750815393. The cubic root of 10339280 is about 217.8529434954.

The spelling of 10339280 in words is "ten million, three hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 499 518 560 592 740 998 1036 1295 1480 1996 2072 2495 2590 2960 3493 3992 4144 4990 5180 6986 7984 9980 10360 13972 17465 18463 19960 20720 27944 34930 36926 39920 55888 69860 73852 92315 129241 139720 147704 184630 258482 279440 295408 369260 516964 646205 738520 1033928 1292410 1477040 2067856 2584820 5169640 10339280