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10534320 = 243354877
BaseRepresentation
bin101000001011…
…110110110000
3201211012101000
4220023312300
510144044240
61013442000
7155353206
oct50136660
921735330
1010534320
115a45655
123640300
13224ab34
141583076
15dd1430
hexa0bdb0

10534320 has 80 divisors (see below), whose sum is σ = 36292320. Its totient is φ = 2808576.

The previous prime is 10534313. The next prime is 10534331. The reversal of 10534320 is 2343501.

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

It is a super-2 number, since 2×105343202 = 221943795724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10534293 and 10534302.

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, 279 + ... + 4598.

It is an arithmetic number, because the mean of its divisors is an integer number (453654).

Almost surely, 210534320 is an apocalyptic number.

10534320 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 10534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146160).

10534320 is an abundant number, since it is smaller than the sum of its proper divisors (25758000).

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

10534320 is a wasteful number, since it uses less digits than its factorization.

10534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10534320 is about 3245.6617198963. The cubic root of 10534320 is about 219.2142770462.

Adding to 10534320 its reverse (2343501), we get a palindrome (12877821).

The spelling of 10534320 in words is "ten million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4877 9754 14631 19508 24385 29262 39016 43893 48770 58524 73155 78032 87786 97540 117048 131679 146310 175572 195080 219465 234096 263358 292620 351144 390160 438930 526716 585240 658395 702288 877860 1053432 1170480 1316790 1755720 2106864 2633580 3511440 5267160 10534320