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10068336 = 2432292411
BaseRepresentation
bin100110011010…
…000101110000
3200221112011100
4212122011300
510034141321
6555444400
7151402515
oct46320560
920845140
1010068336
115757543
123456700
1321169c5
1414a130c
15d3d326
hex99a170

10068336 has 60 divisors (see below), whose sum is σ = 29161080. Its totient is φ = 3239040.

The previous prime is 10068283. The next prime is 10068341. The reversal of 10068336 is 63386001.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2971 + ... + 5381.

It is an arithmetic number, because the mean of its divisors is an integer number (486018).

Almost surely, 210068336 is an apocalyptic number.

10068336 is a gapful number since it is divisible by the number (16) 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 10068336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580540).

10068336 is an abundant number, since it is smaller than the sum of its proper divisors (19092744).

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

10068336 is a wasteful number, since it uses less digits than its factorization.

10068336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10068336 is about 3173.0641342400. The cubic root of 10068336 is about 215.9331068580.

It can be divided in two parts, 10068 and 336, that added together give a square (10404 = 1022).

The spelling of 10068336 in words is "ten million, sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2411 4176 4822 7233 9644 14466 19288 21699 28932 38576 43398 57864 69919 86796 115728 139838 173592 209757 279676 347184 419514 559352 629271 839028 1118704 1258542 1678056 2517084 3356112 5034168 10068336