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10383264 = 2532311163
BaseRepresentation
bin100111100110…
…111110100000
3201112112011100
4213212332200
510124231024
61010314400
7154153623
oct47467640
921475140
1010383264
115952111
123588a00
1321c7158
141543dba
15da17c9
hex9e6fa0

10383264 has 72 divisors (see below), whose sum is σ = 30506112. Its totient is φ = 3346560.

The previous prime is 10383259. The next prime is 10383271. The reversal of 10383264 is 46238301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 8347 + ... + 9509.

It is an arithmetic number, because the mean of its divisors is an integer number (423696).

Almost surely, 210383264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253056).

10383264 is an abundant number, since it is smaller than the sum of its proper divisors (20122848).

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

10383264 is a wasteful number, since it uses less digits than its factorization.

10383264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10383264 is about 3222.3072479203. The cubic root of 10383264 is about 218.1614268822.

The spelling of 10383264 in words is "ten million, three hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1163 1488 2232 2326 2976 3489 4464 4652 6978 8928 9304 10467 13956 18608 20934 27912 36053 37216 41868 55824 72106 83736 108159 111648 144212 167472 216318 288424 324477 334944 432636 576848 648954 865272 1153696 1297908 1730544 2595816 3461088 5191632 10383264