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21872304 = 2432193787
BaseRepresentation
bin101001101101…
…1111010110000
31112011020011100
41103123322300
521044403204
62100444400
7353624436
oct123337260
945136140
1021872304
1111389a93
1273a9700
1346ba6bc
142c94d56
151dc0a39
hex14dbeb0

21872304 has 60 divisors (see below), whose sum is σ = 61607416. Its totient is φ = 7243776.

The previous prime is 21872281. The next prime is 21872309. The reversal of 21872304 is 40327812.

21872304 = 2362 + 2372 + ... + 4282.

It is not an unprimeable number, because it can be changed into a prime (21872309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27399 + ... + 28185.

Almost surely, 221872304 is an apocalyptic number.

21872304 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 21872304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30803708).

21872304 is an abundant number, since it is smaller than the sum of its proper divisors (39735112).

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

21872304 is a wasteful number, since it uses less digits than its factorization.

With its successor (21872305) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (985).

21872304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 21872304 is about 4676.7835100633. The cubic root of 21872304 is about 279.6607455802.

The spelling of 21872304 in words is "twenty-one million, eight hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 787 1158 1544 1574 1737 2316 2361 3088 3148 3474 4632 4722 6296 6948 7083 9264 9444 12592 13896 14166 18888 27792 28332 37776 56664 113328 151891 303782 455673 607564 911346 1215128 1367019 1822692 2430256 2734038 3645384 5468076 7290768 10936152 21872304