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21404040 = 2335783307
BaseRepresentation
bin101000110100…
…1100110001000
31111021102211020
41101221212020
520434412130
62042432440
7346634310
oct121514610
944242736
1021404040
111109a199
127202720
134585518
142bb2440
151d2be10
hex1469988

21404040 has 128 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 4817664.

The previous prime is 21404029. The next prime is 21404063. The reversal of 21404040 is 4040412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69567 + ... + 69873.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 221404040 is an apocalyptic number.

21404040 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 21404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255680).

21404040 is an abundant number, since it is smaller than the sum of its proper divisors (53107320).

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

21404040 is a wasteful number, since it uses less digits than its factorization.

21404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 21404040 is about 4626.4500429595. The cubic root of 21404040 is about 277.6505797485.

Adding to 21404040 its reverse (4040412), we get a palindrome (25444452).

The spelling of 21404040 in words is "twenty-one million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 210 249 280 307 332 415 420 498 581 614 664 830 840 921 996 1162 1228 1245 1535 1660 1743 1842 1992 2149 2324 2456 2490 2905 3070 3320 3486 3684 4298 4605 4648 4980 5810 6140 6447 6972 7368 8596 8715 9210 9960 10745 11620 12280 12894 13944 17192 17430 18420 21490 23240 25481 25788 32235 34860 36840 42980 50962 51576 64470 69720 76443 85960 101924 127405 128940 152886 178367 203848 254810 257880 305772 356734 382215 509620 535101 611544 713468 764430 891835 1019240 1070202 1426936 1528860 1783670 2140404 2675505 3057720 3567340 4280808 5351010 7134680 10702020 21404040