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21400054720 = 2651140115161
BaseRepresentation
bin10011111011100010…
…101110101111000000
32001020101222102021021
4103323202232233000
5322311403222340
613455301235224
71355212315042
oct237342565700
961211872237
1021400054720
119091855940
124192a02b14
132030775295
14107020da92
15853b21e4a
hex4fb8aebc0

21400054720 has 112 divisors (see below), whose sum is σ = 55733813856. Its totient is φ = 7761920000.

The previous prime is 21400054679. The next prime is 21400054747. The reversal of 21400054720 is 2745000412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1403940 + ... + 1419100.

It is an arithmetic number, because the mean of its divisors is an integer number (497623338).

Almost surely, 221400054720 is an apocalyptic number.

21400054720 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 21400054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27866906928).

21400054720 is an abundant number, since it is smaller than the sum of its proper divisors (34333759136).

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

21400054720 is a wasteful number, since it uses less digits than its factorization.

21400054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15590 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The spelling of 21400054720 in words is "twenty-one billion, four hundred million, fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 401 440 704 802 880 1604 1760 2005 3208 3520 4010 4411 6416 8020 8822 12832 15161 16040 17644 22055 25664 30322 32080 35288 44110 60644 64160 70576 75805 88220 121288 128320 141152 151610 166771 176440 242576 282304 303220 333542 352880 485152 606440 667084 705760 833855 970304 1212880 1334168 1411520 1667710 2425760 2668336 3335420 4851520 5336672 6079561 6670840 10673344 12159122 13341680 24318244 26683360 30397805 48636488 53366720 60795610 66875171 97272976 121591220 133750342 194545952 243182440 267500684 334375855 389091904 486364880 535001368 668751710 972729760 1070002736 1337503420 1945459520 2140005472 2675006840 4280010944 5350013680 10700027360 21400054720