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21721240 = 2351721879
BaseRepresentation
bin101001011011…
…1000010011000
31111212112221101
41102313002120
521030034430
62053321144
7352425142
oct122670230
944775841
1021721240
1111296542
1273361b4
134666a08
142c55c92
151d90dca
hex14b7098

21721240 has 48 divisors (see below), whose sum is σ = 51944400. Its totient is φ = 8173056.

The previous prime is 21721229. The next prime is 21721247. The reversal of 21721240 is 4212712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21721247) 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 11 ways as a sum of consecutive naturals, for example, 10621 + ... + 12499.

It is an arithmetic number, because the mean of its divisors is an integer number (1082175).

Almost surely, 221721240 is an apocalyptic number.

21721240 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 21721240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25972200).

21721240 is an abundant number, since it is smaller than the sum of its proper divisors (30223160).

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

21721240 is a wasteful number, since it uses less digits than its factorization.

21721240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 21721240 is about 4660.6051109271. The cubic root of 21721240 is about 279.0154194704.

Adding to 21721240 its reverse (4212712), we get a palindrome (25933952).

The spelling of 21721240 in words is "twenty-one million, seven hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 1879 2312 2890 3758 5780 7516 9395 11560 15032 18790 31943 37580 63886 75160 127772 159715 255544 319430 543031 638860 1086062 1277720 2172124 2715155 4344248 5430310 10860620 21721240