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21314432 = 27891871
BaseRepresentation
bin101000101001…
…1101110000000
31111002212220102
41101103232000
520424030212
62040501532
7346112126
oct121235600
944085812
1021314432
1111038937
12717a8a8
1345537b9
142b8b916
151d105c2
hex1453b80

21314432 has 32 divisors (see below), whose sum is σ = 42962400. Its totient is φ = 10531840.

The previous prime is 21314431. The next prime is 21314443. The reversal of 21314432 is 23441312.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×213144322 = 908610022965248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10457 + ... + 12327.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 221314432 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 21314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

21314432 is an abundant number, since it is smaller than the sum of its proper divisors (21647968).

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

21314432 is an equidigital number, since it uses as much as digits as its factorization.

21314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1962 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 21314432 is about 4616.7555707445. The cubic root of 21314432 is about 277.2625764593.

Adding to 21314432 its reverse (23441312), we get a palindrome (44755744).

The spelling of 21314432 in words is "twenty-one million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 1871 2848 3742 5696 7484 11392 14968 29936 59872 119744 166519 239488 333038 666076 1332152 2664304 5328608 10657216 21314432