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21317040 = 2433571139
BaseRepresentation
bin101000101010…
…0010110110000
31111010000111000
41101110112300
520424121130
62040522000
7346122543
oct121242660
944100430
1021317040
111103a898
127180300
134554a44
142b8c85a
151d11260
hex14545b0

21317040 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 5564160.

The previous prime is 21317039. The next prime is 21317041. The reversal of 21317040 is 4071312.

It is an interprime number because it is at equal distance from previous prime (21317039) and next prime (21317041).

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

It is not an unprimeable number, because it can be changed into a prime (21317041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153291 + ... + 153429.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 221317040 is an apocalyptic number.

21317040 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 21317040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

21317040 is an abundant number, since it is smaller than the sum of its proper divisors (53678160).

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

21317040 is a wasteful number, since it uses less digits than its factorization.

21317040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21317040 is about 4617.0380115394. The cubic root of 21317040 is about 277.2738844674.

Adding to 21317040 its reverse (4071312), we get a palindrome (25388352).

The spelling of 21317040 in words is "twenty-one million, three hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 139 142 144 180 213 216 240 270 278 284 355 360 417 426 432 540 556 568 639 695 710 720 834 852 1065 1080 1112 1136 1251 1278 1390 1420 1668 1704 1917 2085 2130 2160 2224 2502 2556 2780 2840 3195 3336 3408 3753 3834 4170 4260 5004 5112 5560 5680 6255 6390 6672 7506 7668 8340 8520 9585 9869 10008 10224 11120 12510 12780 15012 15336 16680 17040 18765 19170 19738 20016 25020 25560 29607 30024 30672 33360 37530 38340 39476 49345 50040 51120 59214 60048 75060 76680 78952 88821 98690 100080 118428 148035 150120 153360 157904 177642 197380 236856 266463 296070 300240 355284 394760 444105 473712 532926 592140 710568 789520 888210 1065852 1184280 1332315 1421136 1776420 2131704 2368560 2664630 3552840 4263408 5329260 7105680 10658520 21317040