Search a number
-
+
21475440 = 2432574261
BaseRepresentation
bin101000111101…
…1000001110000
31111102001202200
41101323001300
520444203230
62044143200
7350352420
oct121730160
944361680
1021475440
11111388a8
127237b00
1345abb7c
142bd0480
151d43160
hex147b070

21475440 has 120 divisors (see below), whose sum is σ = 82444128. Its totient is φ = 4907520.

The previous prime is 21475417. The next prime is 21475451. The reversal of 21475440 is 4457412.

21475440 is a `hidden beast` number, since 214 + 7 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×214754402 = 922389046387200, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2910 + ... + 7170.

Almost surely, 221475440 is an apocalyptic number.

21475440 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 21475440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41222064).

21475440 is an abundant number, since it is smaller than the sum of its proper divisors (60968688).

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

21475440 is a wasteful number, since it uses less digits than its factorization.

21475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 21475440 is about 4634.1601180797. The cubic root of 21475440 is about 277.9589677722.

The spelling of 21475440 in words is "twenty-one million, four hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 4261 5040 8522 12783 17044 21305 25566 29827 34088 38349 42610 51132 59654 63915 68176 76698 85220 89481 102264 119308 127830 149135 153396 170440 178962 191745 204528 238616 255660 268443 298270 306792 340880 357924 383490 447405 477232 511320 536886 596540 613584 715848 766980 894810 1022640 1073772 1193080 1342215 1431696 1533960 1789620 2147544 2386160 2684430 3067920 3579240 4295088 5368860 7158480 10737720 21475440