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21304608 = 2531343397
BaseRepresentation
bin101000101000…
…1010100100000
31111002101102120
41101101110200
520423221413
62040344240
7346041363
oct121212440
944071376
1021304608
1111031516
127175080
13454c1a0
142b880da
151d0c723
hex1451520

21304608 has 96 divisors (see below), whose sum is σ = 61782336. Its totient is φ = 6386688.

The previous prime is 21304603. The next prime is 21304627. The reversal of 21304608 is 80640312.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21304603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53466 + ... + 53862.

It is an arithmetic number, because the mean of its divisors is an integer number (643566).

Almost surely, 221304608 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 21304608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30891168).

21304608 is an abundant number, since it is smaller than the sum of its proper divisors (40477728).

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

21304608 is a wasteful number, since it uses less digits than its factorization.

21304608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21304608 is about 4615.6914974898. The cubic root of 21304608 is about 277.2199723662.

It can be divided in two parts, 21304 and 608, that added together give a palindrome (21912).

The spelling of 21304608 in words is "twenty-one million, three hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 397 416 516 559 624 688 794 1032 1118 1191 1248 1376 1588 1677 2064 2236 2382 3176 3354 4128 4472 4764 5161 6352 6708 8944 9528 10322 12704 13416 15483 17071 17888 19056 20644 26832 30966 34142 38112 41288 51213 53664 61932 68284 82576 102426 123864 136568 165152 204852 221923 247728 273136 409704 443846 495456 546272 665769 819408 887692 1331538 1638816 1775384 2663076 3550768 5326152 7101536 10652304 21304608