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21216240 = 2432579373
BaseRepresentation
bin101000011101…
…1101111110000
31110220220012200
41100323233300
520412404430
62034423200
7345222633
oct120735760
943826180
1021216240
1110a81091
127131b00
13451abb6
142b63c1a
151ce1460
hex143bbf0

21216240 has 120 divisors (see below), whose sum is σ = 72346560. Its totient is φ = 5571072.

The previous prime is 21216203. The next prime is 21216241. The reversal of 21216240 is 4261212.

21216240 is a `hidden beast` number, since 21 + 21 + 624 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21216241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56694 + ... + 57066.

It is an arithmetic number, because the mean of its divisors is an integer number (602888).

Almost surely, 221216240 is an apocalyptic number.

21216240 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 21216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36173280).

21216240 is an abundant number, since it is smaller than the sum of its proper divisors (51130320).

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

21216240 is a wasteful number, since it uses less digits than its factorization.

21216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21216240 is about 4606.1089869867. The cubic root of 21216240 is about 276.8361536302.

Adding to 21216240 its reverse (4261212), we get a palindrome (25477452).

The spelling of 21216240 in words is "twenty-one million, two hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 373 395 474 632 711 720 746 790 948 1119 1185 1264 1422 1492 1580 1865 1896 2238 2370 2844 2984 3160 3357 3555 3730 3792 4476 4740 5595 5688 5968 6320 6714 7110 7460 8952 9480 11190 11376 13428 14220 14920 16785 17904 18960 22380 26856 28440 29467 29840 33570 44760 53712 56880 58934 67140 88401 89520 117868 134280 147335 176802 235736 265203 268560 294670 353604 442005 471472 530406 589340 707208 884010 1060812 1178680 1326015 1414416 1768020 2121624 2357360 2652030 3536040 4243248 5304060 7072080 10608120 21216240