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21427104 = 253613659
BaseRepresentation
bin101000110111…
…1001110100000
31111022121110110
41101233032200
520441131404
62043131320
7350061456
oct121571640
944277413
1021427104
1111105556
127213b40
134592b7a
142bba9d6
151d33b89
hex146f3a0

21427104 has 48 divisors (see below), whose sum is σ = 57183840. Its totient is φ = 7023360.

The previous prime is 21427103. The next prime is 21427121. The reversal of 21427104 is 40172412.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21427103) 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, 4027 + ... + 7685.

It is an arithmetic number, because the mean of its divisors is an integer number (1191330).

Almost surely, 221427104 is an apocalyptic number.

21427104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591920).

21427104 is an abundant number, since it is smaller than the sum of its proper divisors (35756736).

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

21427104 is a wasteful number, since it uses less digits than its factorization.

21427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 21427104 is about 4628.9419957481. The cubic root of 21427104 is about 277.7502717416.

Adding to 21427104 its reverse (40172412), we get a palindrome (61599516).

The spelling of 21427104 in words is "twenty-one million, four hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3659 5856 7318 10977 14636 21954 29272 43908 58544 87816 117088 175632 223199 351264 446398 669597 892796 1339194 1785592 2678388 3571184 5356776 7142368 10713552 21427104