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10682532 = 2232742391
BaseRepresentation
bin101000110000…
…000010100100
3202002201200100
4220300002210
510213320112
61020544100
7156541260
oct50600244
922081610
1010682532
116036a43
1236b2030
1322a0433
1415c10a0
15e102dc
hexa300a4

10682532 has 36 divisors (see below), whose sum is σ = 30861376. Its totient is φ = 3052080.

The previous prime is 10682501. The next prime is 10682537. The reversal of 10682532 is 23528601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106825322 = 228232979862048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10682496 and 10682505.

It is not an unprimeable number, because it can be changed into a prime (10682537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20944 + ... + 21447.

Almost surely, 210682532 is an apocalyptic number.

10682532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10682532 is an abundant number, since it is smaller than the sum of its proper divisors (20178844).

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

10682532 is a wasteful number, since it uses less digits than its factorization.

10682532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42408 (or 42403 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10682532 is about 3268.4142944247. The cubic root of 10682532 is about 220.2375670623.

It can be divided in two parts, 1068 and 2532, that added together give a square (3600 = 602).

The spelling of 10682532 in words is "ten million, six hundred eighty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 42391 84782 127173 169564 254346 296737 381519 508692 593474 763038 890211 1186948 1526076 1780422 2670633 3560844 5341266 10682532