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21295980 = 22335113349
BaseRepresentation
bin101000100111…
…1001101101100
31111001221121000
41101033031230
520422432410
62040240300
7346004256
oct121171554
944057530
1021295980
1111025a92
127170090
134548294
142b84cd6
151d09dc0
hex144f36c

21295980 has 96 divisors (see below), whose sum is σ = 67032000. Its totient is φ = 5612544.

The previous prime is 21295961. The next prime is 21295997. The reversal of 21295980 is 8959212.

21295980 = T160 + T161 + ... + T508.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60846 + ... + 61194.

It is an arithmetic number, because the mean of its divisors is an integer number (698250).

Almost surely, 221295980 is an apocalyptic number.

21295980 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 21295980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33516000).

21295980 is an abundant number, since it is smaller than the sum of its proper divisors (45736020).

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

21295980 is a wasteful number, since it uses less digits than its factorization.

21295980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 21295980 is about 4614.7567649877. The cubic root of 21295980 is about 277.1825442054.

The spelling of 21295980 in words is "twenty-one million, two hundred ninety-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 349 452 540 565 678 698 1017 1047 1130 1356 1396 1695 1745 2034 2094 2260 3051 3141 3390 3490 4068 4188 5085 5235 6102 6282 6780 6980 9423 10170 10470 12204 12564 15255 15705 18846 20340 20940 30510 31410 37692 39437 47115 61020 62820 78874 94230 118311 157748 188460 197185 236622 354933 394370 473244 591555 709866 788740 1064799 1183110 1419732 1774665 2129598 2366220 3549330 4259196 5323995 7098660 10647990 21295980