Search a number
-
+
10905312 = 2531123449
BaseRepresentation
bin101001100110…
…011011100000
3202112001021110
4221212123200
510242432222
61025423320
7161456625
oct51463340
922461243
1010905312
116179360
12379ab40
13234a962
14163c34c
15e5630c
hexa666e0

10905312 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3153920.

The previous prime is 10905299. The next prime is 10905319. The reversal of 10905312 is 21350901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10905319) by changing a digit.

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, 24064 + ... + 24512.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 210905312 is an apocalyptic number.

10905312 is a gapful number since it is divisible by the number (12) 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 10905312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10905312 is an abundant number, since it is smaller than the sum of its proper divisors (21753888).

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

10905312 is a wasteful number, since it uses less digits than its factorization.

10905312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10905312 is about 3302.3191850577. The cubic root of 10905312 is about 221.7580352102.

The spelling of 10905312 in words is "ten million, nine hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 449 506 528 552 736 759 898 1012 1056 1104 1347 1518 1796 2024 2208 2694 3036 3592 4048 4939 5388 6072 7184 8096 9878 10327 10776 12144 14368 14817 19756 20654 21552 24288 29634 30981 39512 41308 43104 59268 61962 79024 82616 113597 118536 123924 158048 165232 227194 237072 247848 330464 340791 454388 474144 495696 681582 908776 991392 1363164 1817552 2726328 3635104 5452656 10905312