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21248368 = 2417191409
BaseRepresentation
bin101000100001…
…1100101110000
31110222112021121
41101003211300
520414421433
62035232024
7345415411
oct121034560
943875247
1021248368
1110aa3239
127148614
13452c6cb
142b71808
151ceac2d
hex1443970

21248368 has 40 divisors (see below), whose sum is σ = 43925760. Its totient is φ = 9922560.

The previous prime is 21248363. The next prime is 21248369. The reversal of 21248368 is 86384212.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21248363) 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, 51748 + ... + 52156.

It is an arithmetic number, because the mean of its divisors is an integer number (1098144).

Almost surely, 221248368 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 21248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21962880).

21248368 is an abundant number, since it is smaller than the sum of its proper divisors (22677392).

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

21248368 is a wasteful number, since it uses less digits than its factorization.

21248368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 21248368 is about 4609.5952099940. The cubic root of 21248368 is about 276.9758218936.

The spelling of 21248368 in words is "twenty-one million, two hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 191 272 382 409 764 818 1528 1636 3056 3247 3272 6494 6544 6953 12988 13906 25976 27812 51952 55624 78119 111248 156238 312476 624952 1249904 1328023 2656046 5312092 10624184 21248368