Search a number
-
+
10013304 = 2337193137
BaseRepresentation
bin100110001100…
…101001111000
3200211201200010
4212030221320
510030411204
6554341520
7151053210
oct46145170
920751603
1010013304
11571a164
12342a8a0
1320c7942
141489240
15d2bd89
hex98ca78

10013304 has 64 divisors (see below), whose sum is σ = 30124800. Its totient is φ = 2709504.

The previous prime is 10013287. The next prime is 10013317. The reversal of 10013304 is 40331001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10013304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (470700).

Almost surely, 210013304 is an apocalyptic number.

10013304 is a gapful number since it is divisible by the number (14) 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 10013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062400).

10013304 is an abundant number, since it is smaller than the sum of its proper divisors (20111496).

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

10013304 is a wasteful number, since it uses less digits than its factorization.

10013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10013304 is about 3164.3805080932. The cubic root of 10013304 is about 215.5389686618.

Adding to 10013304 its reverse (40331001), we get a palindrome (50344305).

The spelling of 10013304 in words is "ten million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3137 3192 6274 9411 12548 18822 21959 25096 37644 43918 59603 65877 75288 87836 119206 131754 175672 178809 238412 263508 357618 417221 476824 527016 715236 834442 1251663 1430472 1668884 2503326 3337768 5006652 10013304