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21689613 = 341122213
BaseRepresentation
bin101001010111…
…1010100001101
31111210221120000
41102233110031
521023031423
62052514513
7352234011
oct122572415
944727500
1021689613
1111274800
12731ba39
1346554ba
142c48541
151d86843
hex14af50d

21689613 has 30 divisors (see below), whose sum is σ = 35629902. Its totient is φ = 13139280.

The previous prime is 21689611. The next prime is 21689617. The reversal of 21689613 is 31698612.

It can be written as a sum of positive squares in only one way, i.e., 21650409 + 39204 = 4653^2 + 198^2 .

It is not a de Polignac number, because 21689613 - 21 = 21689611 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21689611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8695 + ... + 10907.

Almost surely, 221689613 is an apocalyptic number.

It is an amenable number.

21689613 is a deficient number, since it is larger than the sum of its proper divisors (13940289).

21689613 is a wasteful number, since it uses less digits than its factorization.

21689613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2227 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 21689613 is about 4657.2108605903. The cubic root of 21689613 is about 278.8799344637.

It can be divided in two parts, 2168 and 9613, that added together give a triangular number (11781 = T153).

The spelling of 21689613 in words is "twenty-one million, six hundred eighty-nine thousand, six hundred thirteen".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 2213 3267 6639 9801 19917 24343 59751 73029 179253 219087 267773 657261 803319 1971783 2409957 7229871 21689613