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21271440 = 2435263337
BaseRepresentation
bin101000100100…
…1001110010000
31111000200221010
41101021032100
520421141230
62035530520
7345542601
oct121111620
944020833
1021271440
1111009603
127159a40
13453a068
142b79da8
151d029b0
hex1449390

21271440 has 80 divisors (see below), whose sum is σ = 66388608. Its totient is φ = 5634048.

The previous prime is 21271429. The next prime is 21271451. The reversal of 21271440 is 4417212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21271429) and next prime (21271451).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62952 + ... + 63288.

Almost surely, 221271440 is an apocalyptic number.

21271440 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 21271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33194304).

21271440 is an abundant number, since it is smaller than the sum of its proper divisors (45117168).

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

21271440 is a wasteful number, since it uses less digits than its factorization.

21271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 21271440 is about 4612.0971368782. The cubic root of 21271440 is about 277.0760346819.

Adding to 21271440 its reverse (4417212), we get a palindrome (25688652).

The spelling of 21271440 in words is "twenty-one million, two hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 263 337 526 674 789 1011 1052 1315 1348 1578 1685 2022 2104 2630 2696 3156 3370 3945 4044 4208 5055 5260 5392 6312 6740 7890 8088 10110 10520 12624 13480 15780 16176 20220 21040 26960 31560 40440 63120 80880 88631 177262 265893 354524 443155 531786 709048 886310 1063572 1329465 1418096 1772620 2127144 2658930 3545240 4254288 5317860 7090480 10635720 21271440