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10532144 = 247271347
BaseRepresentation
bin101000001011…
…010100110000
3201211002101102
4220023110300
510144012034
61013423532
7155343650
oct50132460
921732342
1010532144
115a43a57
12363aba8
132249b4c
141582360
15dd097e
hexa0b530

10532144 has 40 divisors (see below), whose sum is σ = 23474688. Its totient is φ = 4484160.

The previous prime is 10532143. The next prime is 10532167. The reversal of 10532144 is 44123501.

It is a super-2 number, since 2×105321442 = 221852114473472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10532143) 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, 30179 + ... + 30525.

Almost surely, 210532144 is an apocalyptic number.

10532144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10532144 is an abundant number, since it is smaller than the sum of its proper divisors (12942544).

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

10532144 is a wasteful number, since it uses less digits than its factorization.

10532144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10532144 is about 3245.3264858871. The cubic root of 10532144 is about 219.1991821590.

Adding to 10532144 its reverse (44123501), we get a palindrome (54655645).

The spelling of 10532144 in words is "ten million, five hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 271 347 542 694 1084 1388 1897 2168 2429 2776 3794 4336 4858 5552 7588 9716 15176 19432 30352 38864 94037 188074 376148 658259 752296 1316518 1504592 2633036 5266072 10532144