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21348192 = 25317103127
BaseRepresentation
bin101000101101…
…1111101100000
31111011121012210
41101123331200
520431120232
62041322120
7346312425
oct121337540
944147183
1021348192
1111061238
127196340
134565c88
142b99d4c
151d1a5cc
hex145bf60

21348192 has 96 divisors (see below), whose sum is σ = 60383232. Its totient is φ = 6580224.

The previous prime is 21348161. The next prime is 21348203. The reversal of 21348192 is 29184312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168033 + ... + 168159.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 221348192 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 21348192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616).

21348192 is an abundant number, since it is smaller than the sum of its proper divisors (39035040).

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

21348192 is a wasteful number, since it uses less digits than its factorization.

21348192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 21348192 is about 4620.4103713848. The cubic root of 21348192 is about 277.4088849471.

The spelling of 21348192 in words is "twenty-one million, three hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 103 127 136 204 206 254 272 309 381 408 412 508 544 618 762 816 824 1016 1236 1524 1632 1648 1751 2032 2159 2472 3048 3296 3502 4064 4318 4944 5253 6096 6477 7004 8636 9888 10506 12192 12954 13081 14008 17272 21012 25908 26162 28016 34544 39243 42024 51816 52324 56032 69088 78486 84048 103632 104648 156972 168096 207264 209296 222377 313944 418592 444754 627888 667131 889508 1255776 1334262 1779016 2668524 3558032 5337048 7116064 10674096 21348192