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21414432 = 2531317159
BaseRepresentation
bin101000110110…
…0001000100000
31111021222002010
41101230020200
520440230212
62042552520
7350006514
oct121541040
944258063
1021414432
11110a6a86
127208740
13458a180
142bb6144
151d3003c
hex146c220

21414432 has 48 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 6588672.

The previous prime is 21414431. The next prime is 21414457. The reversal of 21414432 is 23441412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21414399 and 21414408.

It is not an unprimeable number, because it can be changed into a prime (21414431) 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, 7332 + ... + 9827.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 221414432 is an apocalyptic number.

It is an amenable number.

21414432 is an abundant number, since it is smaller than the sum of its proper divisors (39126048).

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

21414432 is a wasteful number, since it uses less digits than its factorization.

21414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17185 (or 17177 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 21414432 is about 4627.5730140107. The cubic root of 21414432 is about 277.6955070611.

Adding to 21414432 its reverse (23441412), we get a palindrome (44855844).

The spelling of 21414432 in words is "twenty-one million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 17159 34318 51477 68636 102954 137272 205908 223067 274544 411816 446134 549088 669201 823632 892268 1338402 1647264 1784536 2676804 3569072 5353608 7138144 10707216 21414432