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21186140 = 22519127439
BaseRepresentation
bin101000011010…
…0011001011100
31110212100220212
41100310121130
520410424030
62034031552
7345036113
oct120643134
943770825
1021186140
1110a60508
1271185b8
13450a2a1
142b56c7a
151cd7595
hex143465c

21186140 has 48 divisors (see below), whose sum is σ = 47308800. Its totient is φ = 7947072.

The previous prime is 21186127. The next prime is 21186149. The reversal of 21186140 is 4168112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21186149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48041 + ... + 48479.

It is an arithmetic number, because the mean of its divisors is an integer number (985600).

Almost surely, 221186140 is an apocalyptic number.

21186140 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 21186140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23654400).

21186140 is an abundant number, since it is smaller than the sum of its proper divisors (26122660).

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

21186140 is a wasteful number, since it uses less digits than its factorization.

21186140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 21186140 is about 4602.8404273883. The cubic root of 21186140 is about 276.7051735890.

The spelling of 21186140 in words is "twenty-one million, one hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 380 439 508 635 878 1270 1756 2195 2413 2540 4390 4826 8341 8780 9652 12065 16682 24130 33364 41705 48260 55753 83410 111506 166820 223012 278765 557530 1059307 1115060 2118614 4237228 5296535 10593070 21186140