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21375960 = 2335533361
BaseRepresentation
bin101000110001…
…0101111011000
31111020000022020
41101202233120
520433012320
62042054440
7346456404
oct121425730
944200266
1021375960
1111080091
1271aa420
1345757c8
142ba6104
151d23940
hex1462bd8

21375960 has 64 divisors (see below), whose sum is σ = 65357280. Its totient is φ = 5591040.

The previous prime is 21375917. The next prime is 21375961. The reversal of 21375960 is 6957312.

21375960 = T81 + T82 + ... + T504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21375961) 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, 4680 + ... + 8040.

Almost surely, 221375960 is an apocalyptic number.

21375960 is a gapful number since it is divisible by the number (20) 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 21375960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678640).

21375960 is an abundant number, since it is smaller than the sum of its proper divisors (43981320).

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

21375960 is a wasteful number, since it uses less digits than its factorization.

21375960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 21375960 is about 4623.4143227706. The cubic root of 21375960 is about 277.5291098429.

The spelling of 21375960 in words is "twenty-one million, three hundred seventy-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 3361 6360 6722 10083 13444 16805 20166 26888 33610 40332 50415 67220 80664 100830 134440 178133 201660 356266 403320 534399 712532 890665 1068798 1425064 1781330 2137596 2671995 3562660 4275192 5343990 7125320 10687980 21375960