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21355104 = 2531811229
BaseRepresentation
bin101000101110…
…1101001100000
31111011221200210
41101131221200
520431330404
62041414120
7346341531
oct121355140
944157623
1021355104
1111066451
12719a340
134569174
142b9c688
151d1c689
hex145da60

21355104 has 48 divisors (see below), whose sum is σ = 56412720. Its totient is φ = 7073280.

The previous prime is 21355097. The next prime is 21355121. The reversal of 21355104 is 40155312.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16762 + ... + 17990.

It is an arithmetic number, because the mean of its divisors is an integer number (1175265).

Almost surely, 221355104 is an apocalyptic number.

21355104 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 21355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28206360).

21355104 is an abundant number, since it is smaller than the sum of its proper divisors (35057616).

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

21355104 is a wasteful number, since it uses less digits than its factorization.

21355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 21355104 is about 4621.1582963582. The cubic root of 21355104 is about 277.4388210234.

The spelling of 21355104 in words is "twenty-one million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1229 1448 2172 2458 2896 3687 4344 4916 5792 7374 8688 9832 14748 17376 19664 29496 39328 58992 117984 222449 444898 667347 889796 1334694 1779592 2669388 3559184 5338776 7118368 10677552 21355104