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21355140 = 22351572267
BaseRepresentation
bin101000101110…
…1101010000100
31111011221202010
41101131222010
520431331030
62041414220
7346341612
oct121355204
944157663
1021355140
1111066484
12719a370
1345691a1
142b9c6b2
151d1c6b0
hex145da84

21355140 has 48 divisors (see below), whose sum is σ = 60201792. Its totient is φ = 5655936.

The previous prime is 21355121. The next prime is 21355151. The reversal of 21355140 is 4155312.

It is an unprimeable number.

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, 8287 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (1254204).

Almost surely, 221355140 is an apocalyptic number.

21355140 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 21355140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30100896).

21355140 is an abundant number, since it is smaller than the sum of its proper divisors (38846652).

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

21355140 is a wasteful number, since it uses less digits than its factorization.

21355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 21355140 is about 4621.1621914839. The cubic root of 21355140 is about 277.4389769235.

The spelling of 21355140 in words is "twenty-one million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2267 2355 3140 4534 4710 6801 9068 9420 11335 13602 22670 27204 34005 45340 68010 136020 355919 711838 1067757 1423676 1779595 2135514 3559190 4271028 5338785 7118380 10677570 21355140