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21001960 = 2357107701
BaseRepresentation
bin101000000011…
…1011011101000
31110112000021101
41100013123220
520334030320
62030051144
7343341130
oct120073350
943460241
1021001960
11109450a1
127049ab4
1344744c5
142b09ac0
151c9cc0a
hex14076e8

21001960 has 64 divisors (see below), whose sum is σ = 54587520. Its totient is φ = 7123200.

The previous prime is 21001943. The next prime is 21001961. The reversal of 21001960 is 6910012.

It is not an unprimeable number, because it can be changed into a prime (21001961) 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, 29610 + ... + 30310.

It is an arithmetic number, because the mean of its divisors is an integer number (852930).

Almost surely, 221001960 is an apocalyptic number.

21001960 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 21001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293760).

21001960 is an abundant number, since it is smaller than the sum of its proper divisors (33585560).

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

21001960 is a wasteful number, since it uses less digits than its factorization.

21001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 21001960 is about 4582.7895434986. The cubic root of 21001960 is about 275.9010006907.

Adding to 21001960 its reverse (6910012), we get a palindrome (27911972).

The spelling of 21001960 in words is "twenty-one million, one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 701 749 856 1070 1402 1498 2140 2804 2996 3505 3745 4280 4907 5608 5992 7010 7490 9814 14020 14980 19628 24535 28040 29960 39256 49070 75007 98140 150014 196280 300028 375035 525049 600056 750070 1050098 1500140 2100196 2625245 3000280 4200392 5250490 10500980 21001960