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10532080 = 2451321941
BaseRepresentation
bin101000001011…
…010011110000
3201211002022001
4220023103300
510144011310
61013423344
7155343526
oct50132360
921732261
1010532080
115a439a9
12363ab54
132249b00
141582316
15dd093a
hexa0b4f0

10532080 has 120 divisors (see below), whose sum is σ = 28591920. Its totient is φ = 3594240.

The previous prime is 10532063. The next prime is 10532083. The reversal of 10532080 is 8023501.

It is a happy number.

It is a super-2 number, since 2×105320802 = 221849418252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256860 + ... + 256900.

It is an arithmetic number, because the mean of its divisors is an integer number (238266).

Almost surely, 210532080 is an apocalyptic number.

10532080 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 10532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295960).

10532080 is an abundant number, since it is smaller than the sum of its proper divisors (18059840).

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

10532080 is a wasteful number, since it uses less digits than its factorization.

10532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10532080 is about 3245.3166255390. The cubic root of 10532080 is about 219.1987381603.

Adding to 10532080 its reverse (8023501), we get a palindrome (18555581).

The spelling of 10532080 in words is "ten million, five hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 41 52 65 76 80 82 95 104 130 152 164 169 190 205 208 247 260 304 328 338 380 410 494 520 533 656 676 760 779 820 845 988 1040 1066 1235 1352 1520 1558 1640 1690 1976 2132 2470 2665 2704 3116 3211 3280 3380 3895 3952 4264 4940 5330 6232 6422 6760 6929 7790 8528 9880 10127 10660 12464 12844 13520 13858 15580 16055 19760 20254 21320 25688 27716 31160 32110 34645 40508 42640 50635 51376 55432 62320 64220 69290 81016 101270 110864 128440 131651 138580 162032 202540 256880 263302 277160 405080 526604 554320 658255 810160 1053208 1316510 2106416 2633020 5266040 10532080