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10531312 = 2411531129
BaseRepresentation
bin101000001011…
…000111110000
3201211001020121
4220023013300
510144000222
61013420024
7155341351
oct50130760
921731217
1010531312
115a43370
12363a614
13224965c
141581d28
15dd05c7
hexa0b1f0

10531312 has 40 divisors (see below), whose sum is σ = 22699440. Its totient is φ = 4692480.

The previous prime is 10531307. The next prime is 10531319. The reversal of 10531312 is 21313501.

It is a super-2 number, since 2×105313122 = 221817064882688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8764 + ... + 9892.

It is an arithmetic number, because the mean of its divisors is an integer number (567486).

Almost surely, 210531312 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 10531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349720).

10531312 is an abundant number, since it is smaller than the sum of its proper divisors (12168128).

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

10531312 is a wasteful number, since it uses less digits than its factorization.

10531312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 10531312 is about 3245.1982990258. The cubic root of 10531312 is about 219.1934100351.

Adding to 10531312 its reverse (21313501), we get a palindrome (31844813).

The spelling of 10531312 in words is "ten million, five hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1129 1166 2258 2332 4516 4664 9032 9328 12419 18064 24838 49676 59837 99352 119674 198704 239348 478696 658207 957392 1316414 2632828 5265656 10531312