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21419904 = 273112461
BaseRepresentation
bin101000110110…
…1011110000000
31111022020120210
41101231132000
520440414104
62043034120
7350031462
oct121553600
944266523
1021419904
1111100100
12720b940
13458c7cc
142bb8132
151d31989
hex146d780

21419904 has 96 divisors (see below), whose sum is σ = 62674920. Its totient is φ = 6476800.

The previous prime is 21419903. The next prime is 21419911. The reversal of 21419904 is 40991412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21419903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46234 + ... + 46694.

Almost surely, 221419904 is an apocalyptic number.

21419904 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 21419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337460).

21419904 is an abundant number, since it is smaller than the sum of its proper divisors (41255016).

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

21419904 is a wasteful number, since it uses less digits than its factorization.

21419904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 21419904 is about 4628.1642148913. The cubic root of 21419904 is about 277.7191580955.

The spelling of 21419904 in words is "twenty-one million, four hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 461 484 528 704 726 922 968 1056 1383 1408 1452 1844 1936 2112 2766 2904 3688 3872 4224 5071 5532 5808 7376 7744 10142 11064 11616 14752 15213 15488 20284 22128 23232 29504 30426 40568 44256 46464 55781 59008 60852 81136 88512 111562 121704 162272 167343 177024 223124 243408 324544 334686 446248 486816 649088 669372 892496 973632 1338744 1784992 1947264 2677488 3569984 5354976 7139968 10709952 21419904