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10532916 = 2234192959
BaseRepresentation
bin101000001011…
…100000110100
3201211010110000
4220023200310
510144023131
61013431300
7155346132
oct50134064
921733400
1010532916
115a44599
12363b530
13224a2c4
141582752
15dd0ce6
hexa0b834

10532916 has 120 divisors (see below), whose sum is σ = 30492000. Its totient is φ = 3157056.

The previous prime is 10532903. The next prime is 10532923. The reversal of 10532916 is 61923501.

It is a super-2 number, since 2×105329162 = 221884638926112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10532916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178495 + ... + 178553.

It is an arithmetic number, because the mean of its divisors is an integer number (254100).

Almost surely, 210532916 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 10532916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15246000).

10532916 is an abundant number, since it is smaller than the sum of its proper divisors (19959084).

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

10532916 is a wasteful number, since it uses less digits than its factorization.

10532916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10532916 is about 3245.4454239750. The cubic root of 10532916 is about 219.2045377522.

It can be divided in two parts, 1053 and 2916, that added together give a square (3969 = 632).

The spelling of 10532916 in words is "ten million, five hundred thirty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 59 76 81 87 108 114 116 118 162 171 174 177 228 236 261 324 342 348 354 513 522 531 551 684 708 783 1026 1044 1062 1102 1121 1539 1566 1593 1653 1711 2052 2124 2204 2242 2349 3078 3132 3186 3306 3363 3422 4484 4698 4779 4959 5133 6156 6372 6612 6726 6844 9396 9558 9918 10089 10266 13452 14877 15399 19116 19836 20178 20532 29754 30267 30798 32509 40356 44631 46197 59508 60534 61596 65018 89262 90801 92394 97527 121068 130036 138591 178524 181602 184788 195054 277182 292581 363204 390108 554364 585162 877743 1170324 1755486 2633229 3510972 5266458 10532916